Question

1. use the elimination method to solve for x and y. equation 1 -5x -5y = -25 equation 2 -30x -10y = 10 9a first solve for x, x = -3 5 nailed it! 9b now solve for y. enter your next step here

Explanation:

Step1: Substitute x = -3 into Equation 1

We know \( x = -3 \), and Equation 1 is \( -5x - 5y = -25 \). Substitute \( x = -3 \) into it:
\( -5(-3) - 5y = -25 \)
Simplify the left - hand side: \( 15 - 5y = -25 \)

Step2: Solve for y

Subtract 15 from both sides of the equation \( 15 - 5y = -25 \):
\( -5y = -25 - 15 \)
\( -5y = -40 \)
Divide both sides by - 5:
\( y=\frac{-40}{-5}=8 \)

Answer:

\( y = 8 \)