Question

solve the system by substitution.
$y = 8x - 6$
$y = 2x$
answer attempt 1 out of 2
(\boxed{1}, \boxed{}) submit answer

Explanation:

Step1: Substitute \( y = 2x \) into \( y = 8x - 6 \)

Since both equations equal \( y \), we can set them equal to each other: \( 2x = 8x - 6 \)

Step2: Solve for \( x \)

Subtract \( 8x \) from both sides: \( 2x - 8x = -6 \)
Simplify: \( -6x = -6 \)
Divide both sides by \( -6 \): \( x = \frac{-6}{-6} = 1 \)

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

Substitute \( x = 1 \) into \( y = 2x \): \( y = 2(1) = 2 \)

Answer:

\((1, 2)\)