Problem

$\begin{array}{l}y=2 x-5 \\ -3 x-4 y=-2\end{array}$

Answer

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Answer

\(\boxed{x = 2, y = -1}\)

Steps

Step 1 ：First, solve the first equation for y: \(y = 2x - 5\)

Step 2 ：Substitute the expression for y into the second equation: \(-3x - 4(2x - 5) = -2\)

Step 3 ：Simplify the equation: \(-3x - 8x + 20 = -2\)

Step 4 ：Combine like terms: \(-11x + 20 = -2\)

Step 5 ：Solve for x: \(x = 2\)

Step 6 ：Substitute the value of x back into the expression for y: \(y = 2(2) - 5\)

Step 7 ：Solve for y: \(y = -1\)

Step 8 ：\(\boxed{x = 2, y = -1}\)

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