Question

1. use the elimination method by subtraction to solve for x and then y.

equation 1 2x - 5y = 1
equation 2 -3x - 5y = -39
8a
x = 8
3 keep it up!
8b now solve for y
enter your next step here

Explanation:

Step1: Substitute x=8 into Equation1

Substitute \( x = 8 \) into the first equation \( 2x - 5y = 1 \). So we get \( 2\times8 - 5y = 1 \).

Step2: Simplify the equation

Calculate \( 2\times8 = 16 \), so the equation becomes \( 16 - 5y = 1 \).

Step3: Solve for y

Subtract 16 from both sides: \( -5y = 1 - 16 \), which simplifies to \( -5y = -15 \). Then divide both sides by -5: \( y=\frac{-15}{-5}=3 \).

Answer:

\( y = 3 \)