Question

solve the system by substitution.

$y = -6x - 7$
$y = -7x$

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

Explanation:

Step1: Substitute \( y = -7x \) into \( y = -6x - 7 \)

Since both equations equal \( y \), we can set them equal to each other: \( -7x = -6x - 7 \)

Step2: Solve for \( x \)

Add \( 6x \) to both sides: \( -7x + 6x = -6x - 7 + 6x \)
Simplify: \( -x = -7 \)
Multiply both sides by -1: \( x = 7 \)

Step3: Find \( y \) using \( y = -7x \)

Substitute \( x = 7 \) into \( y = -7x \): \( y = -7\times7 = -49 \)

Answer:

\((7, -49)\)