Question

question
solve the system by substitution.
( y = x - 15 )
( y = 4x )
answer attempt 1 out of 5
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Explanation:

Step1: Substitute \( y = 4x \) into \( y = x - 15 \)

Since \( y \) is equal to both \( 4x \) and \( x - 15 \), we can set them equal to each other: \( 4x = x - 15 \)

Step2: Solve for \( x \)

Subtract \( x \) from both sides: \( 4x - x = x - 15 - x \), which simplifies to \( 3x = -15 \)
Divide both sides by 3: \( \frac{3x}{3} = \frac{-15}{3} \), so \( x = -5 \)

Step3: Find \( y \) using \( y = 4x \)

Substitute \( x = -5 \) into \( y = 4x \): \( y = 4(-5) = -20 \)

Answer:

\((-5, -20)\)