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.
enter your next step here

Explanation:

Step1: Multiply Equation 1 by 2

To eliminate \( y \), we make the coefficients of \( y \) in both equations opposites or equal. Multiply Equation 1 (\( -5x - 5y = -25 \)) by 2.
\( 2\times(-5x - 5y)=2\times(-25) \)
\( -10x - 10y = -50 \)

Step2: Subtract Equation 2 from the new Equation 1

Now we have the new Equation 1: \( -10x - 10y = -50 \) and Equation 2: \( -30x - 10y = 10 \). Subtract Equation 2 from the new Equation 1.
\( (-10x - 10y)-(-30x - 10y)= -50 - 10 \)
Simplify the left side: \( -10x - 10y + 30x + 10y = 20x \)
Simplify the right side: \( -60 \)
So, \( 20x = -60 \)

Step3: Solve for \( x \)

Divide both sides of \( 20x = -60 \) by 20.
\( x=\frac{-60}{20}=-3 \)

Answer:

\( x = -3 \)