Solve y=3x-4 and y=2/5x+ 9
using systems of linear eqautions​

Answers

Answer 1

Answer:

(5 , 11)

Step-by-step explanation:

[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]

There are three ways to solve the systems of linear equations

1) Elimination method - where we add/subtract the equations to eliminate the variable

2) Substitution method - where we substitute one variable in the form of another variable

3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution

We use the second method the Substitution method which is the easiest in my opinion.

Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:

[tex]3x-4=\frac{2}{5}x+9[/tex]

as you can see here we eliminated the variable y by substituting y in terms of x.

Now we just solve the equation algebraically

[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]

The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1

[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]

so the solution of the system of linear equations is (5 , 11)

Solve Y=3x-4 And Y=2/5x+ 9using Systems Of Linear Eqautions

Related Questions

Can you simplify the below equation

[tex]\sqrt{(\sqrt{21} -2\sqrt{7}) ^2}[/tex]

Answers

Answer:

nope

Step-by-step explanation:

literally impossible

The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a binomial random variable. Assume that its probability will be approximated using the normal distribution. Describe the area under the normal curve that will be computed in order to determine the probability that more than Americans support the bill.

Answers

Answer:

Right of X = 635.5

Step-by-step explanation:

By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.

According to the rule of continuity;

P(X ≤ k) becomes  P( X ≤ K + 0.5)

P(X < K) becomes P(X < K - 0.5)

P(X ≥ K) becomes P(X ≥ K - 0.5)

P(X > K) becomes P(X > K + 0.5)

P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)

From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.

Then we use the > sign.

P(X > K ) becomes P(X > K + 0.5)

P(X > 635) becomes P(X > 635 + 0.5)

⇒ P(X > 635.5) tot the right.

Right of X = 635.5


The coolor below holds 10 gallons. How many quarts will the jug hold?

40 quarts
20 quarts
160 quarts
20 quarts

Answers

can we get a picture?

The ratio of the number of silver watches to the number of gold watches in a shop is 2:3. Which of the following best describes the number of silver and gold watches in the shop?

Answers

Answer:

let it snow

Step-by-step explanation:

merry christmas

What is the difference of the fractions represented in the model?

Answers

The answer is A) 1/4, one fourth.

when you subtract numbers what are some things you should remember

Answers

If you’re subtracting by a larger number the answer will be negative
To get it the answer right

In 20 free throw attempts, Raul made 8. Based on this data, what is a reasonable estimate of the probability that Raul will make his next free throw?

Answers

Answer:

40%.

Step-by-step explanation:

Given that Raul made 8 of his 20 free throw attempts, it could be argued that he was 40% efficient on those free throws. This then 8/20 is equal to 0.40. Therefore, following this reasoning, it would be logical to say that Raul has a 40% chance of making his next shot, since that is his hitting percentage so far.

The original price of an iPad is $429 the sale price 30% off the original price what is the sale price of the iPad

Answers

the calculator but I think it might be #143000

Answer:

sale price is therefore $300.30

Step-by-step explanation:

100% - 30% = 70%

0.70 * $429 = 300.30

The sale price is therefore $300.30

Please mark brainliest and have a nice day :)

Cecily is comparing two checking accounts. Checking account A has a monthly fee of $16 and a per-check fee of $0.08, while checking account B has monthly fee of $14 and a per-check fee of $0.12. She want to know how many checks she would need to write per month for the accounts to charge the same amount in fees.

Part III: What equation can be set up to solve for the number of checks Cecily would need to write per month for the accounts to charge the same amount in fees?

Part IV: How many checks would Cecily need to write per month for the accounts to charge the same amount in fees?​

Answers

Part 3

Checking account A has a monthly fee of $16 and a per-check fee of $0.08

If she writes x checks, where x is some nonnegative whole number, then she is charged an additional 0.08x dollars on top of the 16 dollar fee.

The total cost of checking account A is 0.08x+16 dollars.

The total cost of account B is 0.12x dollars for similar reasoning. We don't have a monthly fee, but the cost per check is higher.

Set the two expressions equal to one another to get your answer.

Answer:  0.08x+16 = 0.12x

==============================================

Part 4

Let's solve the equation we set up in part 3

0.08x+16 = 0.12x

16 = 0.12x-0.08x

16 = 0.04x

0.04x = 16

x = 16/0.04

x = 400

If Cecily wrote 400 checks per month, then the cost of each account would be the same.

For account A, it would cost her 0.08*x+16 = 0.08*400+16 = 48 dollars

For account B, it would cost her 0.12*x = 0.12*400 = 48 dollars.

Answer: 400 checks per month

What is the value of x 39 (2x+1)

Answers

Answer:

2xx_{39}+x_{39}

Step-by-step explanation:

x 39 ( 2 x + 1 )

Use the distributive property to multiply x_{39} by 2x+1.

2x_{39}x+x_{39}

2xx_{39}+x_{39}

A cookie costs $1.95. How much would 15 cookies cost at the same price per cookie?

Answers

Answer:

cost of cookie = $1.95

cost of 15 cookies = $1.95 *15

cost of 15 cookies = $29.25

Step-by-step explanation:

Please help due today!!!!

Answers

Answer:2)75% 3)36 ounces 4)667 5)90 problems 6)4680

Step-by-step explanation:

Think these r correct. 2) 24/32 then multiply by 100=75%. 3)90% of 40=36. 4)580 x 1.15 (multiplier) which equals 667. 5)81/90 is 90% so the denominator is all the problems. 6)65% of 7200 is 4680.

please help needed today

Answers

Answer:

-9

Step-by-step explanation:it is 2.5 diffrence for each place on the graph so 2.5 times 30 (cause 60 and 90 have a 30 point diffrence) would give you 75 and seince the numbers are decresing to the right side i subtracted 75 from 66 and the awnser is -9. hope this helps and sorry my spelling is bad

Which set of numbers represents the RANGE for the following table
x -3 4 6 -12

y 5 -6 2 0

A

{−6,0,2,5}


B

{4, 5, 6, 12}


C

{−3,4,6,12}


D

{0, 5, 6, 2}

Answers

Answer:

The range of the table is:

Range R = {-6, 0, 2, 5}

Hence, option A is true.

Step-by-step explanation:

Given the table

x        -3   4    6    -12

y         5   -6   2     0

Determining the range:

We know that the range of a table consists of all the y-values of the given points.

From the given table, it is clear that the y-values are:

y = 5, -6, 2, 0

Thus, the range of the relation in ascending order is:

Range R = {-6, 0, 2, 5}

Please note that the duplicated elements in the range, if any, are written only once.

Therefore, the range of the table is:

Range R = {-6, 0, 2, 5}

Hence, option A is true.

Dertermine the quotient of 3/7 divided by 2/3 pls help

Answers

When you divide, you multiply by the other fraction’s reciprocal
= 3/7 * 3/2 = 9/14
Answer: 9/14

Answer: 9/14

Step-by-step explanation:

hope this helps!

Solve the following system of equations graphically on the set of axes below.
Y=1/3x+6 y=-5/3x-6

Answers

Answer:

I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.

First, we have the lines:

y = (1/3)*x + 6

y = (-5/3)*x - 6

To graph these lines, you must find two points for the lines and then draw a line that connects the points.

To do it, you can evaluate each line in two different values of x, for example for the first line we can have:

y(0) = (1/3)*0 + 6 = 6   (then we have the point (0, 6))

y(3) = (1/3)*3 + 6 = 7    (then we have the point (3, 7))

And for the second line, we will have:

y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))

y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))

Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.

The graphs of the lines are shown below:

Where the grey line is the first one, and the green is the second.

In the graph, you can see that the lines intersect in the point (-6, 4)

Then the solution for the system is x = -6, and y = 4.

Help help help help help plss

Answers

Answer:

Last one

Step-by-step explanation:

Answer:

48 divided by 4= 12

Step-by-step explanation:

i suck at math srry

A rectangle is drawn so the width is 4 inches longer than the height. If the rectangle's diagonal measurement is 46 inches, find the height.

Give your answer rounded to 1 decimal place.

Inches.

Answers

Answer:

30.5 iches

Step-by-step explanation:

Which of the following expressions is a correct interpretation of the expression 2-(-7)

PLEASE ANSWER NOW!!! DURNING A QUIZ

Answers

Answer:

B

Step-by-step explanation:

Because you are subtracting a negative number from a positive number, the two negatives will cancel each other out and it will move to the right.

3. Lunch
Steven owns a restaurant that specializes in steak burgers! 4 burgers and 3 fries cost $24.50. If a burger costs $5, how much is each order of fries?


LET X =


EQUATION:






5. Dinner
The restaurant is full! There are some four-person tables and 8 tables with couples. If there are 56 people here, how many four-person tables are there?

LET X =


EQUATION






7. Dessert
Stuart’s bought a cake and 6 servings of ice cream. The cake was $12 and the total bill was $33. How much was each order of ice cream?

LET X =


EQUATION

Answers

Step-by-step explanation:

3)

4(5)+3x=24.50

20+3x=24.50

-20        -20

3x=4.50

/3      /3

x=$1.50

5)

4x+2(8)=56

4x+16=56

   -16   -16

4x=40

/4    /4

x=10 tables

7)

1(12)+6x=33

12+6x=33

-12        -12

6x=21

/6    /6

x=$3.5

The answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

3)

Let x be the cost of each fry.

4×5 + 3x = 24.50

20 + 3x = 24.50

3x = 4.5

x = $1.5 each fry

5)

Let x be the number of tables for a four-person.

Couple means two persons.

56 - 2×8 = 4x

4x = 40

x = 10 four-person tables

7)

Let x be the cost of each order of ice cream:

12 + 6x = 33

x = $3.5 each order of ice cream.

Thus, the answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.

Learn more about the linear equation here:

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According to a report in USA Today, more and more parents are helping their young adult children buy homes. You would like to construct a 90% confidence interval of the proportion of all young adults in Louisville, Kentucky, who received help from their parents in buying a home. How large a sample should you take so that the margin of error is no more than 0.06?

Answers

Answer:

The value is [tex]n = 188 [/tex]

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.06[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

  Generally will assume that the sample proportion young adults in Louisville, Kentucky, who received help from their parents in buying a home is  [tex]\^ p = 0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.645}{0.06 } ]^2 * 0.5 (1 - 0.5 ) [/tex]

=>  [tex]n = 188 [/tex]

Which quadrant are the following points located:




(3, –2)




A.
4

B.
2

C.
3

D.
1

Answers

Answer:

A

Step-by-step explanation:

x is positive and y is negative

Which of the following is equal to 4 2/3 divided by 3 1/2 ? (2 points)

a.
4 2/3 times 3 1/2

b.
14/3 times 2/7

c.
14/3 times 7/2

d.
42/3 times 2/31

Answers

Answer:

c I'm to 100 percent sure but if not it's b it's around 14 for sure

I need the answers to this ASAP

Answers

Answer:

First Answer: A = $ 4,247.03

A = P + I where

P (principal) = $ 4,000.00

I (interest) = $ 247.03

Second Answer : A = $ 6,325.22

A = P + I where

P (principal) = $ 5,500.00

I (interest) = $ 825.22

Third Answer: A = $ 7,735.55

A = P + I where

P (principal) = $ 7,000.00

I (interest) = $ 735.5

Fourth Answer: A = $ 7,735.55

A = P + I where

P (principal) = $ 7,000.00

I (interest) = $ 735.55

Step-by-step explanation:

HOPE IT HELPS MARK ME BRAINLIEST :)

Which equation represents A, the area in square centimeters of the
rectangle below?
23 cm
16
cm
O A. A= 23+ 16
O B. A = (2x 23) + (2 x 16)
O C. A = 23 x 16
O D. A= (23x 16) x 2

Answers

Answer:

C - formula of area of rectangle is l×w

so 23×16


There are y boats on a lake.
There are 6 people in each boat.
Write an expression, in terms of y, for the total number of people in the boats.

Answers

Answer:

I hope this may help u

Step-by-step explanation:

6×y

You currently make $18.32 an hour, get time and a half for anything over 40 hours, and a 10% commission on
all sales for the month. Determine your gross monthly salary given that your sales on average are $7,891 per
month and you work 5 hours of overtime a week.
a. $4,011.78
b. $4,132.95
C. $4,269.90
d. $4,320.12

Answers

Answer: b

Step-by-step explanation:

The correct answer is:

C) $4269.90.

Explanation:

40 hours per week at 18.32:

40*18.32 = 732.80.

Over time is time and a half; this means:

18.32*1.5=27.48 per hour overtime.

5 hours of overtime per week would be:

27.48*5=137.40.

Together this makes:

732.80+137.40=870.20 per week.

There are 4 weeks in a month;

4*870.20=3480.80.

You make 10% commission on the sales; 10% = 0.1.

0.1*7891=789.10.

Add this to the monthly income:

3480.80+789.10=4269.90.

William earns straight commission as a real estate agent. Last month his total sales were $971,168. If William earns a 3% rate of commission, what was his gross income last month?

Answers

Answer:

he earned $29,135.04

Step-by-step explanation:

to get answer you multiply total sales by .03

The answer is $29,135.04

What is the slope of the following equation? y =- 1/2×+1 ​

Answers

Answer:

-1/2

Step-by-step explanation:

Answer: -1/2

Reason: In the equation of y = mx + b. The m is the slope, and the b is the y intercept, so that is how I figured out the Slope of the equation. I hope this helps, and Happy Holidays! :)

Is k=4 a solution of 4 K + 7=7 k-1

Answers

Answer:

k=8/3

Step-by-step explanation:

Let's solve your equation step-by-step.

4k+7=7k−1

Step 1: Subtract 7k from both sides.

4k+7−7k=7k−1−7k

−3k+7=−1

Step 2: Subtract 7 from both sides.

−3k+7−7=−1−7

−3k=−8

Step 3: Divide both sides by -3.

−3k

−3

=

−8

−3

k=

8

3

The value of k is equal to 8/3 for the given expression.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

The given expression is  4 K + 7=7 k-1, the value of k is calculated as,

4K + 7=7k-1

Separate the like terms in the above equation and solve for the value of k,

4K + 7=7k-1

7k  - 4k = 7 + 1

3k = 8

k = 8/3

Therefore, the value of k will be 8/3 in the given equation. The value of k = 4 is wrong.

To know more about an expression follow

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