Question

15 -3x - 3y = -6 -2x - 5y = -28

Explanation:

Step1: Simplify the first equation

Divide the first equation \(-3x - 3y = -6\) by \(-3\) to simplify it.

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Step2: Substitute \(x = 2 - y\) into the second equation

Substitute \(x = 2 - y\) into \(-2x - 5y = -28\).

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Step3: Solve for \(y\)

Add \(4\) to both sides of the equation \(-4 - 3y = -28\).

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Divide both sides by \(-3\):

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

Step4: Solve for \(x\)

Substitute \(y = 8\) into \(x = 2 - y\).

$$ x = 2 - 8 = -6 $$

Answer:

The solution to the system of equations is \(x = -6\) and \(y = 8\).