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