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solve using substitution. $y = -2x - 6$ $y = -x + 2$ (\\boxed{ }, \\box…

Question

solve using substitution.
$y = -2x - 6$
$y = -x + 2$
(\boxed{ }, \boxed{ })
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Explanation:

Step1: Substitute \( y \) from first equation into second.

Since \( y = -2x - 6 \) and \( y = -x + 2 \), set \( -2x - 6 = -x + 2 \).

Step2: Solve for \( x \).

Add \( 2x \) to both sides: \( -6 = x + 2 \).
Subtract 2 from both sides: \( x = -8 \).

Step3: Find \( y \) using \( x = -8 \) in \( y = -x + 2 \).

\( y = -(-8) + 2 = 8 + 2 = 10 \).

Answer:

\((-8, 10)\)