Solve for the variable x.:
$\begin{array}{c}3 x-y=4 \\ 2 x-3 y=-9\end{array}$

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Answer

$\boxed{x = 3}$

Steps

Step 1 ：Given the system of equations: $3x - y = 4$ and $2x - 3y = -9$

Step 2 ：Multiply the first equation by 3 and the second equation by 1 to make the coefficients of y the same in both equations: $9x - 3y = 12$ and $2x - 3y = -9$

Step 3 ：Subtract the second equation from the first: $(9x - 2x) - (3y - 3y) = 12 - (-9)$

Step 4 ：This simplifies to: $7x = 21$

Step 5 ：Solve for x by dividing both sides by 7: $x = \frac{21}{7}$

Step 6 ：$\boxed{x = 3}$

Solve for the variable x.: $\begin{array}{c}3 x-y=4 \\ 2 x-3 y=-9\end{array}$

Answer

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Solve for the variable x.:
$\begin{array}{c}3 x-y=4 \\ 2 x-3 y=-9\end{array}$