Question

question solve the system by substitution. y = 2x y = 5x - 30 answer attempt 1 out of 2 ( ) submit answer

Explanation:

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

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

Step2: Solve for \( x \)

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

Step3: Find \( y \) using \( y = 2x \)

Substitute \( x = 10 \) into \( y = 2x \): \( y = 2\times10 = 20 \)

Answer:

\( (10, 20) \)