Question

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Explanation:

Step1: Simplify the first equation

Divide the first equation \(7x + 7y = -21\) by 7:
\(x + y = -3\), so \(y = -x - 3\)

Step2: Substitute into the second equation

The second equation is \(8y = -8x - 24\). Divide both sides by 8: \(y = -x - 3\)
We see that both equations simplify to the same linear equation \(y = -x - 3\). This means the two lines are coincident (the same line), so there are an infinite number of solutions.

Answer:

Infinite Number of Solutions