Question

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solve the system by substitution.
$y = 6x - 7$
$-5x + y = -6$
answer attempt 1 out of 2

Explanation:

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

We have the second equation \( -5x + y = -6 \). Substitute \( y \) with \( 6x - 7 \), we get:
\( -5x + (6x - 7) = -6 \)

Step2: Simplify and solve for \( x \)

Simplify the left side: \( -5x + 6x - 7 = x - 7 \)
So the equation becomes \( x - 7 = -6 \)
Add 7 to both sides: \( x - 7 + 7 = -6 + 7 \)
Which gives \( x = 1 \)

Step3: Substitute \( x = 1 \) back into \( y = 6x - 7 \) to find \( y \)

Substitute \( x = 1 \) into \( y = 6x - 7 \):
\( y = 6(1) - 7 = 6 - 7 = -1 \)

Answer:

\( (1, -1) \)