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goldfiish [28.3K]
2 years ago
12

Solve the system of equations using elimination.

Mathematics
1 answer:
Dmitrij [34]2 years ago
6 0

So just plug in the numbers (x,y) into the equations.

A) (7.5, -5)

2(7.5) -5 = 10

15 - 5 = 10 yup, this works.

Let's see if it works for other equation.

-2(7.5) + 2(-5) = 5

-15 - 10 = 5 nope, this does not work.

B) (-2.5, -5)

2(-2.5) - 5 = 10

-5 - 5 = 10 nope, doesn't work

Since it doesn't work we don't need to try for other equation.

C) (2.5, 5)

2(2.5) + 5 = 10

5 + 5 = 10 yup, this works.

Now the other equation.

-2(2.5) + 2(5) = 5

-5 + 10 = 5 and this works.

So the solution to this set is answer choice C

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To solve this, you know that both values listed (4x - 3 and -3x + 4) are equal to y, so you know that they also must be equal to each other! Therefore you can form the following equation:

4x - 3 = -3x + 4

Now you can add -3x to both sides to combine like terms:

7x - 3 = 4

Now add 3 to both sides:

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Now if you divide everything by seven, you see that x = 1. Now that we have out x value, we can go ahead and plug it into one of the equations. This gives us:

y = 4(1) - 3

If we multiply out, we get:

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So y also equals 1! Now that we have our answers, we can simply put them into an ordered pair which should be in the form of (x value, y value.)

Our final answer will be (1, 1).

Hope this helps!
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