this is exactly what the question says:
"Solve the following system of equations."
-5x+3y=22
-6x+7y=23
I have to figure out x and y​

Answers

Answer 1

Answer:

x = - 5, y = - 1

Step-by-step explanation:

Given the 2 equations

- 5x + 3y = 22 → (1)

- 6x + 7y = 23 → (2)

Multiplying (1) by - 6 and (2) by 5 , then adding will eliminate the x- term

30x - 18y = - 132 → (3)

- 30x + 35y = 115 → (4)

Add (3) and (4) term by term to eliminate x

0 + 17y = - 17

17y = - 17 ( divide both sides by 17 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

- 5x + 3(- 1) = 22

- 5x - 3 = 22 ( add 3 to both sides )

- 5x = 25 ( divide both sides by - 5 )

x = - 5


Related Questions

Choose all answers that apply.

Answers

Answer:

It should be C

Step-by-step explanation:

You want to cancel out the x variables

Camden is going to invest $600 and leave it in an account for 12 years.
Assuming the interest is compounded continuously, what interest rate, to the
nearest hundredth of a percent, would be required in order for Camden to
end up with $920?

Answers

Answer:

zjzjzjznnznzkznnznzidddx

Answer:

3.56

Step-by-step explanation:

just did it on delta math

plsss help ASAP !! giving the brainlest answer to whoever can help me out?? plsss

Answers

Answer:

The 2nd one

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because when you work it out it becomes that,

 have a spectacular day

I need to know 2, 3, and 4.

Answers

Answer:

Step-by-step explanation:

Let the equation of the line 'a' is,

y = mx + c

Here, m = slope of the line

c = y-intercept

For line 'a',

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m = [tex]\frac{10}{16}[/tex]

m = [tex]\frac{5}{8}[/tex]

y-intercept = 20

Therefore, equation of the line 'a' is,

y = [tex]\frac{5}{8}x+20[/tex]

Similarly, equation of the line 'b' is,

y = m'x + c'

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m' = [tex]\frac{20}{16}[/tex]

m' = [tex]\frac{5}{4}[/tex]

y-intercept = 0

Therefore, equation of the line is 'b' is,

y = [tex]\frac{5}{4}x[/tex]

1). Line 'b' represents a proportional relationship → FALSE

2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE

3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE

4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE

Please help thank you!!!!!!

Answers

H : because each square contains 100 blocks so the two boxes would be 200 together and as you see one square has all blocks shaded ( 100% ) and then has another 100 block with only 40% shaded in 100% + 40% = 140%

What is the solution to the inequality below?
21x-12x54

Answers

Answer:

Use Photo Math, it will explain all of the steps.

Which expression is equivalent to 6x - 3y?

2 (3x - 2y)

3 (2x - y)

-2 (3x - 2y)

-3 (2x - y)

Answers

3(2x-y)
because if you multiply on both sides it equals 6x-3x
3 (2x - y). This is because you would multiply 2x and y by 3 giving you 6x - 3y

If you were to sketch a circle graph for the data shown in the table below, about what fraction of the circle would represent comedy?
Favorite Types of Movies
Votes
Type
Comedy
45
Adventure
56
Mystery
39
Ο Α. 1
2
11 /
OB. 1
3
0 C
4
O D. 1

Answers

The fraction of the circle that would represent comedy is approximately equal to: B. 1/3.

What is a pie chart?

In Mathematics, a pie chart is sometimes referred to as a circle graph and it can be defined as a type of graph that is used for the graphical representation of the proportional relationship between each part to a whole, especially by dividing a circle into various sectors or sections.

Next, we would determine the total number of votes as follows;

Total votes = 45 + 56 + 39

Total votes = 140 votes.

Now, we can calculate the fraction of the circle that would represent comedy by using this mathematical expression;

Fraction of comedy = votes of comedy/total votes

Fraction of comedy = 45/140

Fraction of comedy = 9/28 ≈ 1/3.

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18 1/4 ÷ 8? Will give brainliest​

Answers

Answer:

9/16

fillerfillerfillerfiller

Answer:

9/16 i think this is right

Step-by-step explanation:

Five family members are going to a play. A service charge of $2 is added to the cost of each ticket. The family is willing to pay $250 or less for the five tickets. What is the greatest amount the family is willing to pay for each ticket? PLEASEE HELPPP ME

Answers

five family members so 250 Divided by 5 is 50 so a maximum of $50

250 ÷5 = 50

$50

Hope this helps!

What is the 100th term of this sequence:

an=2n-5

Answers

a(100) = 2(100) - 5 = 195

This means 195 is the 100th term. Hope this helps!!

The 100th term of the sequence is 195.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

a(n) = 2n - 5

For n = 100,

a(100):

= 2 x 100 - 5

= 200 - 5

= 195

Thus,

The 100th term is 195.

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Parts of the Arctic have 21 hours of daylight each summer day. What
fraction of the day is dark? Show your work. Write your answer in lowest
terms.

ok so can someone please answer because this is for a test​

Answers

Answer:Parts of the Arctic have 21 hours of daylight each summer day. What fraction of the day is dark? Show your work. Write your answer in lowest

terms.

Step-by-step explanation: 24 hours

Day Length. Day length varies with the time of year and the latitude at which you are situated. Because of the earth's tilt, areas above the Arctic Circle receive 24 hours of sunlight each summer, but 24 hours of darkness each winter.

Type your answer as a mixed number
4 times as much as the sum of 1/5 and 2/3

Answers

Answer: 3 7/15

Step-by-step explanation: You first do 1 /5 plus 2/3.But they don't have the same denominator so you make it the same which you can make it to 15 so you make both denominator of   1/5 and 2/3. So 1 /5 change to 3/15 and 2/3 change to 10/15.Now add 3/15 to 10/15 which is 13/5.After that you do 4 times 13/5.But change 4 to a fraction to make it easy which is 4/1.Now multiply 4/1 by 13/5 which gives you 52/15 .Finally change 52/15 to a mixed number which is 3 7/15.

Hope it helps and look at pic below to see the steps :)

Please help me if not that’s ight

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

5th grade math. correct answer will be marked brainliest

Answers

Answer:

i liked this it made me feel smart. but julie will ride further by 4/15 miles

Step-by-step explanation:

Please answer each question truthfully or I will report you

Answers

Answer:

1. 17.6

2. 8.8

3. 4.79

4. 3.92

Answer:

33: 17.6

34: 8.8

35: 4.79

36: 3.92

Step-by-step explanation:

Please note that threatening people isn't the best way to get them to help! Thx!

What decimal is equivalent to 8/40?

Answers

Answer:

0.20

Step-by-step explanation:

8 divided by 40 equals 0.2

0.20 is the decimal is equivalent to 8/40.

What is decimal?

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given:

Fraction = 8/40

Now, simplifying the given fraction

8/40

= 8/( 8x 5)

= 1/5

=0.20

Hence, 0.20 is the decimal is equivalent to 8/40.

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I need halp with one is it?

Answers

Answer: 66ft

Step-by-step explanation:

9 x 5 = 45 + 7 x 3 = 21

45+21=66

Answer:

I am pretty sure it is 66 ft

Step-by-step explanation:

If u just do the top 2x3= 6 and then u multiply 5x12=60 then you add 6 and 60 which is 66

A coach of a baseball team looked over his roster at the beginning of spring training. He noticed some things: Every outfielder is a switch hitter. Half of all infielders are switch hitters. Half of all switch hitters are outfielders. There are 14 infielders and 8 outfielders. No infielder is an outfielder. How many switch hitters are neither outfielders nor infielders

Answers

Answer:

112

Step-by-step explanation:

I just multiplied 14 & 8 and I got 112. I hope this helps.

- Bluewolf

In the graph above, what's the distance between (-1,-4) and (-1,5)?
A) 1 unit
B) 9 units
C) -9 units
D) 7 units
1:44 AM

Answers

B) 9 units because they have the same x value meaning you just count the spaces so 5 to 0 and 0 to -4 so 9 units, you can’t have negative units away

b) The radius of a bicycle wheel is 50cm. In one-ninth of a second, it turns through 80°
about its center, which is fixed. How many kilometers does a point on the rim of the
wheel travel in one hour?​

Answers

Answer:

Given data:

Radius r = 50cm

Time taken by the wheel to turn 80 degree = 1/9 seconds

= > In one second, wheel turns 720 degree

We know that one revolution is 360 degree

Therefore in one second, it takes 2 revolutions

In one hour i.e. 3600 seconds, it takes 7200 revolutions

Distance travelled by the wheel in one revolution is equal to the circumference of the wheel.

Distance travelled in one revolution = 2 π r = 2 π x 50 = 100 π cm

Distance travelled in one hour i.e. for 7200 revolution = 720000 π cm

So, distance travelled by the point on the rim of the wheel in an hour = 7.2 π km = 22.6 km

Step-by-step explanation:

(2x - 3)2 + 5(3 - 2x) - 14​

Answers

Answer:

-6x-5

Step-by-step explanation:

(2x - 3)2 + 5(3 - 2x) - 14​

Distribute

2x*2 -3*2 +5*3 -5*2x -14

4x -6 +15 -10x -14

Combine like terms

4x -10x   -6 +15-14

-6x                 -5

A new car is purchased for 20000 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year, how long will it be until the value of the car is 5700 dollars?

Answers

The number of years before the new car becomes $5700 is 11.4 years.

How long would it take the value of the car to become $5700?

Depreciation is when the value of an asset declines with the passage of time.

Number of years = (In FV / PV) / r

r = rate of depreciation FV = future value of the carPV = purchase value of the car

(IN 5700 / 20,000) / 0.11 = 11.4 years

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STD 10

maths

If the roots of the equation 9x2 – (2k – 5)x – 25 = 0 are additive inverse ( opposite),

then k = ………… .


(a) 0 (b) 1 (c) -5/2 (d) 5/2​

Answers

Answer:

k = 5/2

Step-by-step explanation:

.....................

For the following right triangle, find the side length x.
15

Answers

Answer: 17

Step-by-step explanation:

Pythagorean Theorem

a^2+b^2=c^2

8^2+15^2=c^2

64+225=c^2

289=c^2

Now square both sides

x=17

Answer:

x = 17

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 8^{2} + 15^{2}[/tex]

[tex]c^{2} = 64 + 225[/tex]

[tex]c^{2} = 289[/tex]

[tex]\sqrt{c^2} = \sqrt{289}[/tex]

[tex]c = 17[/tex]

HELP PLS QUICK MIGHT GIVE BRAINLIST ONLY IF 2 PEOPLE ANSWER!

Answers

Answer:

area = 10 squares units

if points changes

The difference of two numbers is 14.Twice the smaller is 6 more than the larger.Find the numbers.

Answers

the numbers are 6 2/3 and 7 1/3

The probability distribution for a
random variable x is given in the table.
-10
-5
0
5
10
15
20
Probability
.20
.15
.05
.1
.25
.1
.15
Find the probability that x = -10

Answers

Answer:

.20

Step-by-step explanation:

According to what are written in the table the probability for x=-10 is .20

The probability distribution  at x= -10 is 0.20.

What is Probability distribution?

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

Given:

We have table as,

x                  -10    -5      0      5      10    15     20

Probability 0.20 0.15 0.05 0.10 0.25 0.10 0.15

So , we have to find probability that x = -10 then by looking at table the corresponding value to x= -10 the probability is 0.20.

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The measure of an angle is 149.5°. What is the measure of its supplementary angle?

Answers

Answer:

30.5°

Step-by-step explanation:

Supplementary angles add up to 180°. You know one angle is 149.5°, so you can find the other angle.

Measure of its supplementary angle = 180° - 149.5°

                                                             = 30.5°

bens parents gave him 20 dollars to buy food from convienience store. Ben is a simple person.He wants to buy one bottle of peach tea that cost .99 dollars and spend the rest of the money to buy as many takis as he can(each bag cost 2.24 dollars)

Write an inequality that helps determine the number of bag of takis ,t, that ben can buy

Answers

Answer:

to eat a healthier meal

Step-by-step explanation:

hope this helps :)

plz give me brainlist

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