Question

question
solve the system by substitution.
$y = 5x + 30$
$y = 2x$
answer attempt 1 out of 2
(\boxed{\quad},\boxed{\quad}) submit answer

Explanation:

Step1: Substitute \( y = 2x \) into \( y = 5x + 30 \)

Since both equations equal \( y \), we can set them equal to each other. Substitute \( y \) in the first equation with \( 2x \) from the second equation: \( 2x = 5x + 30 \).

Step2: Solve for \( x \)

Subtract \( 5x \) from both sides: \( 2x - 5x = 30 \), which simplifies to \( -3x = 30 \). Then divide both sides by \( -3 \): \( x = \frac{30}{-3} = -10 \).

Step3: Solve for \( y \)

Substitute \( x = -10 \) into \( y = 2x \): \( y = 2(-10) = -20 \).

Answer:

\((-10, -20)\)