Question

-8x + 12y = 8
-x + 4y = 11

Explanation:

Step1: Solve the second equation for x

From \(-x + 4y = 11\), we can rewrite it as \(x = 4y - 11\).

Step2: Substitute x into the first equation

Substitute \(x = 4y - 11\) into \(-8x + 12y = 8\):

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Step3: Substitute y back to find x

Substitute \(y = 4\) into \(x = 4y - 11\):
\(x = 4\times4 - 11 = 16 - 11 = 5\)

Answer:

\(x = 5\), \(y = 4\)