Question

question
solve the system by substitution.

y = -x
y = -5x + 40

answer attempt 1 out of 2
( 1 , ) submit answer

Explanation:

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

Since both equations equal \( y \), we can set \( -x = -5x + 40 \).

Step2: Solve for \( x \)

Add \( 5x \) to both sides: \( -x + 5x = 40 \), which simplifies to \( 4x = 40 \). Then divide both sides by 4: \( x = \frac{40}{4} = 10 \).

Step3: Find \( y \) using \( y = -x \)

Substitute \( x = 10 \) into \( y = -x \), so \( y = -10 \).

Answer:

\((10, -10)\)