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What is the solution of the system of equations?

y = –3x + 7
y = 2x – 8

1 Answer

3 votes

Answer:

(3,-2)

Explanation:

The easiest way to solve this is to realize that in both equations, the ys must have the same value. So the right side of each equation can be equal.

-3x + 7 = 2x - 8 Add 8 to both sides

-3x + 7 + 8 = 2x Combine

-3x + 15 = 2x Add 3x to both sides

15 = 2x + 3x Combine and exchange sides

5x = 15 Divide by 5

x = 15/5

x = 3

Use y = 2x - 8 to solve for y

y = 2(3) = 8

y = 6 - 8

y = - 2

User Wortig
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