Find the solution of the system of equations.minus, 2, x, minus, 3, y, equals, minus, 28−2x−3y=−28minus, 2, x, plus, 2, y, equals, 22−2x+2y=22

Question

Find the solution of the system of equations.minus, 2, x, minus, 3, y, equals, minus, 28−2x−3y=−28minus, 2, x, plus, 2, y, equals, 22−2x+2y=22

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Solution

Sure, let's solve the system of equations step by step.

The system of equations is:

-2x - 3y = -28 -2x + 2y = 22

Step 1: Add the two equations together:

-2x - 3y + (-2x + 2y) = -28 + 22 -4x = -6

Step 2: Divide both sides by -4 to solve for x:

x = -6 / -4 x = 1.5

Step 3: Substitute x = 1.5 into the first equation to solve for y:

-2(1.5) - 3y = -28 -3 - 3y = -28 -3y = -28 + 3 -3y = -25 y = -25 / -3 y = 8.33

So, the solution to the system of equations is x = 1.5 and y = 8.33.

This problem has been solved

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