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7) $-7x + 2y = 0$ $8x + y = -23$

Question

  1. $-7x + 2y = 0$

$8x + y = -23$

Explanation:

Step1: Solve the second equation for y

From \(8x + y = -23\), we get \(y = -23 - 8x\).

Step2: Substitute y into the first equation

Substitute \(y = -23 - 8x\) into \(-7x + 2y = 0\):

$$ LATEXBLOCK0 $$

Step3: Substitute x back to find y

Substitute \(x = -2\) into \(y = -23 - 8x\):

$$ LATEXBLOCK1 $$

Answer:

The solution is \(x = -2\) and \(y = -7\)