Question

1. $-7x - 2y = -13$

$x - 2y = 11$

Explanation:

Step1: Subtract the two equations

We have the system of equations:

$$\begin{cases}-7x - 2y = -13\\x - 2y = 11\end{cases}$$

Subtract the second equation from the first equation to eliminate \(y\):

$$
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Step2: Solve for \(x\)

Divide both sides of \(-8x = -24\) by \(-8\):

$$x=\frac{-24}{-8}=3$$

Step3: Substitute \(x = 3\) into the second equation

Substitute \(x = 3\) into \(x - 2y = 11\):

$$3 - 2y = 11$$

Step4: Solve for \(y\)

Subtract 3 from both sides:

$$-2y = 11 - 3 = 8$$

Divide both sides by \(-2\):

$$y=\frac{8}{-2}=-4$$

Answer:

The solution to the system of equations is \(x = 3\) and \(y = -4\)