Find the solution of the system of equations.
\[
\begin{array}{l}
-9 x+8 y=-26 \\
-9 x-6 y=-12
\end{array}
\]

Answer

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Answer

Solution: (2, 4)

Steps

Step 1 ：\(1^{st}\) equation \(-9x + 8y = -26\)

Step 2 ：\(2^{nd}\) equation \(-9x - 6y = -12\)

Step 3 ：Add \(1^{st}\) and \(2^{nd}\) equation: \((-9x + 8y) + (-9x - 6y) = -26 + (-12)\)

Step 4 ：Solve for \(y\): \(y = 4\)

Step 5 ：Substitute \(y\) into the \(1^{st}\) equation: \(-9x + 8(4) = -26\)

Step 6 ：Solve for \(x\): \(x = 2\)

Step 7 ：Solution: (2, 4)