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3 votes
Solve the system by the elimination method.
-10x + 7y=-23
-5x + 2y = -13

User Ikrabbe
by
7.8k points

1 Answer

6 votes

Answer: x = 3, y = 1 or (3, 1)

Explanation:

To solve with the elimination method, we need to have equations with opposite leading coefficients.

Given:

-10x + 7y = -23

-5x + 2y = -13

Get opposite leading coefficients:

-10x + 7y = -23

-2 * (-5x + 2y = -13)

Multiply:

-10x + 7y = -23

10x - 4y = 26

Add the equations together:

3y = 3

Divide both sides of the equation by 3:

y = 1

Next, we will substitute this into a given equation and solve for x.

-10x + 7y = -23

-10x + 7(1) = -23

-10x + 7 = -23

-10x = -30

x = 3

User Ershan
by
8.1k points

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