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6x + y = 22 -2x - 3y = 14

Question

6x + y = 22
-2x - 3y = 14

Explanation:

Step1: Solve for y from first equation

From \(6x + y = 22\), we get \(y = 22 - 6x\).

Step2: Substitute y into second equation

Substitute \(y = 22 - 6x\) into \(-2x - 3y = 14\):

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Step3: Find y using x = 5

Substitute \(x = 5\) into \(y = 22 - 6x\):
\(y = 22 - 6\times5 = 22 - 30 = -8\)

Answer:

\(x = 5\), \(y = -8\)