Question

solve the system by substitution.
y = -x
y = -5x + 40

Explanation:

Step1: Substitute \( y = -x \) into \( y = -5x + 40 \)

Since both equations are solved for \( y \), we can set them equal to each other. So substitute \( -x \) for \( y \) in the second equation:
\( -x = -5x + 40 \)

Step2: Solve for \( x \)

Add \( 5x \) to both sides of the equation:
\( -x + 5x = -5x + 5x + 40 \)
\( 4x = 40 \)
Divide both sides by 4:
\( x = \frac{40}{4} = 10 \)

Step3: Solve for \( y \)

Substitute \( x = 10 \) into \( y = -x \):
\( y = -10 \)

Answer:

The solution to the system is \( x = 10 \), \( y = -10 \) or the ordered pair \( (10, -10) \)