Question

5x + 2y = -4
-2x - 2y = 4

Explanation:

Step1: Add the two equations

Add the equations \(5x + 2y = -4\) and \(-2x - 2y = 4\) together.

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Step2: Solve for \(x\)

Divide both sides of \(3x = 0\) by 3.

$$x=\frac{0}{3}=0$$

Step3: Substitute \(x = 0\) into one of the original equations

Substitute \(x = 0\) into the first equation \(5x+2y=-4\).

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Step4: Solve for \(y\)

Divide both sides of \(2y=-4\) by 2.

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

Answer:

The solution to the system of equations is \(x = 0\) and \(y=-2\)