Solve the system of linear equations by elimination. Check your solutions.

-5x + 3y = -6
9x - 4y = 1

Answers

Answer 1

We can divide both sides of the equation by 43 to solve for x:

90x / 43 - 47y / 43 = -49 / 43

x = -49/43

We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:

-5x + 3y = -6

(-5 * -49/43) + 3y = -6

y = (-6 + 5 * 49/43) / 3

y = 17/43

The solution to the system of equations is (x, y) = (-49/43, 17/43).

To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.

In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:

(-5 * -49/43) + (3 * 17/43) = -6

This simplifies to -6 = -6, which is true, so the solution holds for this equation.

In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:

(9 * -49/43) - (4 * 17/43) = 1

This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.

Therefore, the solution (x, y) = (-49/43, 17/43) is correct.

Answer 2
-5*9=-45
-45x+3*9y=-6*9
Equation1: -45x+27y=-54

Equation2: -45x-(4*(-5))y=1*(-5)
-45x+20y=-5

Equation1-equation2= 27y-20y=-54-(-5)
7y=-49
Y=-7

9x-4*(-7)=1
9x=1-28
X=-3

(X, y)=(-3, -7)

Related Questions

Main and helping words sorry i meant English
not math

Answers

Answer:

its in the link

Step-by-step explanation:

are there a list of verbs?

Please help with this question

Answers

Answer:

-look below!

Step-by-step explanation:

equation: s=3+4    s=sister


process: you would add 3 to 4 which is 7, the age of Raymond’s sister.


Raymond’s sister is 7 years old.

7 years old is the answer 3+4

Julia's service charge at the salon was $72.60. If she added 20% for tip, how much did she pay total for her service at the salon?

Answers

well, is just that much plus the 20%, hmmm what's 20% of 72.60 anyway?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 72.60}}{\left( \cfrac{20}{100} \right)72.60}\implies 14.52~\hfill \underset{total~pay}{\stackrel{72.60~~ + ~~14.52}{\text{\LARGE 87.12}}}[/tex]

The answer here’s 72.60 or 14.52

In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average?

A:Tasha, because she has the lowest ratio since 0.9 > 0.8
B:Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
C:Jana, because she has the lowest ratio since 0.9 > 0.8
D:Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30

Answers

Answer: A) Tasha, because she has the lowest ratio since 0.9 > 0.8

Step-by-step explanation:

Answer is B because 27/30 is greater than 24/30

Brand A has a pack of 28 pencils for $4.19. Round to the nearest tenth

Answers

The answer is $4.2
.19 rounded to the nearest tenth is .20 but you would just put it as .2

Answer:

4.20

Step-by-step explanation:

"1" is in the tenths place, so we look at nine to see if its bigger or smaller than 5, it is so we round up to .20 giving us 4.20

(I also feel this isnt the whole question, but this is the answer for this part anyway.)

PLEASE HELP! I WILL GIVE BRAINLY ALSO SUMMARIZE!! (if u troll ill report!)
A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data:

Answers

Answer:

The time for 22 leg-press reps is 11.9 seconds.

Step-by-step explanation:

The lines of best fit is the trend line of the dataset.

The equation of line of best fit is y = 0.120x + 9.274The time for 22 leg-press reps is 11.9 seconds(A) The equation of the line of best fit

The table is given as —

(x) : 12 32 7 26 28 15 1

(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5

To determine the equation of line of best fit, we make use of a regression calculator.

Enter the above dataset in a regression calculator, the equation is: y = 0.120x + 9.274 (Approximated to Three Decimal Places / Rounded of to the Thousandths Place)

(B) The number of seconds for 22 leg-press reps

This means that x = 22.

So, we have:

y = 0.120 * 22 + 9.274

  = 2.640 + 9.274

  = 11.914

(Approximate to the nearest hundredths)

  = 11.9

Hence, the time for 22 leg-press reps is 11.9 seconds.


Hope my answer helps you.

:)

Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

Similar figures review

Answers

Answer:

#5 = option a (129.38 miles):

We are told that the cities are 17.25 inches apart, and that 2 inches equal 15 miles. First we have to divide 17.25 inches by 2 we end up with 8.62500 inches (not simplified yet). Next, we just take 8.62500 inches and multiply that with 15, which leaves us with 129.37500 inches. Then we just round that to the nearest hundredth which will give us 129.38 inches which means 129.38 miles as well!

#2 = option a (2.4 inches)

We know that bigger rectangle's length is 16 inch and that smaller rectangle's length is 3.2 inches. We just have to calculate the decrease of the length and we do that by dividing. We have to do 16 inches divided by 3.2 inches which equals 5. (You can double check that by multiplying 3.2 inches by 5 which would equal 16 inches) Now to find the width of the smaller rectangle, we just have to divide the width of the bigger rectangle, which is 12 inches, by 5 which would give us 2.4 inches!

#4 = ?

#6 = option c (7.2cm)

So basically I just did 25cm divided by 10cm which equals 2.5cm. (You can also do 25cm divided by 2.5cm to get 10cm if you want to double check). Then I just did 18cm divided by 2.5 cm which led me to the answer 7.2cm)

#3 = ?

Answer: A

Step-by-step explanation: 17.25/2=8.652

8.652*15=129...

rounded it would be equivalent to answer choice A.

Which point is a solution to the system of linear equations?

y = −x + 4

x − 3y = 12?

A: (0, 3)
B: (1, 2)
C: (6, −2)
D: (4, −4)

Answers

The answer is c. 6, -2.
The answer is C, 6,-2

ALEKS

(screenshot)


Thanks! : )

Answers

Answer:

[tex]\frac{9}{1}[/tex]

Step-by-step explanation:

54÷6=9

--> 9:1

Can anyone help with this, its the last question lol

Answers

Answer:

30

Step-by-step explanation:

5 x 6 = 30

29 POINTS TO WHOEVER GETS THIS RIGHT

What is the value of the expression below when w=7 and x=5
3w + 10x

Answers

Answer:

3 × 7 = 21

10 × 5 = 50

21 + 50 = 71

Therefore, the answer is 71.

Answer:

41

Step-by-step explanation:

CREATE THE TABLE
a. you bring 200 cookies to a party. Let n represent the number of people at the party and c represent the number of cookies each person receives
b. you work at a restaurant for 20 hours. let r represent your hourly pay rate and p represent the total amount you earn
c. you are going on a 240-mile trip. Let t represent the number of hours driving and s represent the speed of the car

Answers

The expression for the following statements are,

a. c = 200/n.

b. p = 20r.

c. s×t = 240.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

a. From the information given the numerical form of the statement is,

c = 200/n.

b. From the information given the numerical form of the statement is,

p = 20r.

c. From the information given the numerical form of the statement is,

s×t = 240.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Rita made 4 bowls of fruit salad. She used 0.4 kilograms of melon in all. How many kilograms of melon, on average, were in each bowl?

Answers

Answer:

0.1 kilograms of melon in each bowl.

Step-by-step explanation:

[tex]\frac{0.4}{4}[/tex] = 0.1

Answer:

0.1 kilogram of melon are on each bowl

Step-by-step explanation:

[tex]\frac{4}{0.4} = 0.1[/tex]

helppp pleaseeeeeeeee fastttttttttttt

Answers

1 solution, no solution, 1 solution, 1 solution

Out of a class with 25 students, 24 of them returned their permission slips to go on the field trip. what percentage of the students returned their permission slips>

Answers

Answer: 96%

Step-by-step explanation: 24/25= 0.96

96%….. this needs to be 20
characters long

…………………………..

The chalk circle around the pitcher's mound has a diameter of 16 ft. What is the area of the pitcher's circle?

Answers

Answer:

The area is approximately 201.06

Step-by-step explanation:

If you use the equation pi r^2, then we will get the answer. Since the diameter is double the radius, we should know that the radius is 8ft. Then we do the math and get the answer above.

Answer: A≈201.06ft²

Step-by-step explanation:

How to Calculate Diameter?

Diameter = Circumference ÷ π (when the circumference is given)

Diameter = 2 × Radius (when the radius is given)

Diameter = 2√[Area/π] (when the area is given)

atch
to any like terms in Group 2. Select all that apply.
A.
2.8y
B.
3x
C.
12
D.
2.9y
E. -1.0
0.1
F.1/3x

Answers

The like terms to 4/5 in the group 2 are given as follows:

D. -0.1.

F. 12.

What are like terms?

Like terms are terms that have the same letter and the same exponent, as thus they can be either added or subtracted to simplify expressions.

The most basic example of like terms are constants, as they can always be added or subtracted.

In group 2, the terms that are constant are the terms -0.1 and 12, hence they are like terms to the fraction 4/5, meaning that the correct options are given by options D and F.

The like terms to -2.1x would be of 3x and also x/3, as they would have the same variable x with exponent 1.

Missing Information

The problem is given by the image presented at the end of the answer.

More can be learned about like terms at https://brainly.com/question/17471184

#SPJ1

D and F likes terms are numbers with the same variable like x and y

Mrs. Mendez held a reading contest in
her third-grade class. The students read
160 books. The girls read 84 books.
What percent of the books did the boys
read?

Answers

The boys read 47.5% of the books

Answer:

47.5 percent is correct

Step-by-step explanation:

Find the quotient. 3 ÷ 2/5​

Answers

Answer:

7 1/2

Step-by-step explanation:

Keep Change Flip

3 x 5/2

=15/2

=7 1/2

Hope this helps :)

i believe the answer is 7 1/2

find rate of change AND initial value

Answers

Answer: (1,2) and or (-1.-2)

Step-by-step explanation:

if you look at the graph and go to a point that is on a corner of a square like (0.-4) you count all the squares tell you hit the next point just like the last

pls help me I need the help

Answers

Answer: 1/4, 16/3, 3

Answer is 1/4, 16/3, 3

Every New Year's Day, Jennifer brings 13 candies for each of her grandchildren and 20 more candies for the adults to share.
Let g represent the number of Jennifer's grandchildren and c represent the total number of candies she brings.

Find the value of c when g=9.

Answers

Answer:

We can use the given information to set up a system of two equations:

c = 13g + 20

c - 13g = 20

The second equation is obtained from the first equation by subtracting 13g from both sides.

To solve this system, we can use substitution.

First, we solve the second equation for c.

c = 20 + 13g

Then, we substitute this expression for c into the first equation.

20 + 13g = 13g + 20

Then, we simplify.

20 = 20

So, the value of c when g = 9 is 20 + 13 * 9 = 20 + 117 = 137.

Step-by-step explanation:

C=137 because if you use the equation 13(7) + 20 you will get 137 candies.

The average daily temperature in a city is 55° in May. The average daily temperature in that same city is −3° in December. Which of the following represents the difference in degrees of these average temperatures? |55| − |−3| = 52° |55| + |−3| = 58° 55|−3| = 52° |−55| − |−3| = 58°

Answers

Answer:

-3°

Step-by-step explanation:

Answer #2 or 58 degrees

Thirty out of 40 students passed the algebra test in their math class. what percentage of the students didnt pass the test?

Answers

Answer: 25%

Step-by-step explanation: 40-30= 10    10/40= .25

Answer: 90%

Step-by-step explanation:

A theater sold 85% of the tickets for a
play. If 170 tickets were sold, how many
tickets were originally put up for sale?

Answers

Answer:

200 tickets.

Step-by-step explanation:

85% = 85/100 = 0.85

170/0.85 = 200

= 200

Check:

200*0.85 = 170

Answer: hope this helps ♡

200 tickets were originally put up for sale.

Step-by-step explanation:

85% = 170

(we divide 85 and 170 by 85)

1% = 2

(now multiply 1 and 2 by 100)

100% = 200

(double check: 85% from 200 → (85×200) ÷ 100 = 170 ✓)

Select the correct answer.
Each unit on the graph is equal to 1 block. How many blocks does Ben need to walk from his house to reach the supermarket?

A 4 blocks
B 5 blocks
C 7 blocks
D 9 blocks

Answers

9 blocks is your answer , if you count straight down is would be exactly 9 blocks

Tell whether ratios form a propotion
1/4; 3/12
54/10; 81/15
18/24; 15/20
someone help me pls:(

Answers

Answer: Ratios form a proportion if they are equal when cross-multiplied.

1/4 and 3/12

Cross-multiply these ratios to compare them: 1/4 * 12 = 3, 3/12 * 4 = 3.

So they are equal and form a proportion.

54/10; 81/15

Cross-multiply these ratios to compare them: 54/10 * 15 = 81, 81/15 * 10 = 54.

So they are equal and form a proportion.

18/24; 15/20

Cross-multiply these ratios to compare them: 18/24 * 20 = 15, 15/20 * 24 = 18.

So they are equal and form a proportion.

Hence, all the ratios mentioned above form a proportion.

Step-by-step explanation:

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These are homework questions I don't understand- can I please get help?

Answers

WARNING: ANSWER NOT NOT BE RIGHT! Answer: 1- A I really hope this helps! Im not good at this stuff, but I hope I did good! This not be right!

Answer:

1. a. draw 5 boxes with 7ś in them and x=7

2. number 7. x+x+x=9 that is A. and x+3=9 for B.

3. part a: x+9=16 draw a box with x+9=16 and x=7

3. part b: 4(x)=28 draw a bout that matches that and x=7

Step-by-step explanation:

1. the value of x is seven because 5x = 35 divide x on both sides is 7

2. number 7. x+x+x=9 that is A. and x+3=9 for B.

3. part a: x+9=16 draw a box with x+9=16 and x=7

3. part b: 4(x)=28 draw a bout that matches that and x=7

what is the answer to 9/10=8/a+6

Answers

Answer: 2.8, hope it helps.

Answer: 2.8 :) hope it helps I’m not rly good at this

Look at the graph of a function below.


Which set builder notation represents the domain of the function in the graph?
A. {y|−1≤ y ≤ 3}
B. {y|1 ≤ y ≤ 9 }
C. {x|−1 ≤ x ≤ 3}
D. {x|1 ≤ x ≤ 9}

Answers

the answer to your question is c

The answer for this question is A
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