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solve using substitution. y = -7 8x + 7y = -1 (□, □) submit

Question

solve using substitution.
y = -7
8x + 7y = -1
(□, □)
submit

Explanation:

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

We know \( y = -7 \), so substitute this value into \( 8x + 7y = -1 \). We get \( 8x + 7\times(-7) = -1 \).

Step2: Simplify and solve for \( x \)

First, calculate \( 7\times(-7) = -49 \). So the equation becomes \( 8x - 49 = -1 \). Then, add 49 to both sides: \( 8x = -1 + 49 = 48 \). Finally, divide both sides by 8: \( x = \frac{48}{8} = 6 \).

Step3: Determine the solution

We already know \( y = -7 \) and we found \( x = 6 \), so the solution to the system of equations is the ordered pair \( (6, -7) \).

Answer:

\( (6, -7) \)