Find the solution of the system of equations.minus, 3, x, plus, 9, y, equals, minus, 21−3x+9y=−21minus, 3, x, plus, 8, y, equals, minus, 18−3x+8y=−18

Question

Find the solution of the system of equations.minus, 3, x, plus, 9, y, equals, minus, 21−3x+9y=−21minus, 3, x, plus, 8, y, equals, minus, 18−3x+8y=−18

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Solution

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

The system of equations is:

-3x + 9y = -21 -3x + 8y = -18

Step 1: Subtract the second equation from the first to eliminate x:

(9y - 8y) = (-21 - (-18))

This simplifies to:

y = -3

Step 2: Substitute y = -3 into the first equation:

-3x + 9(-3) = -21 -3x - 27 = -21 -3x = 6

Step 3: Solve for x:

x = -2

So, the solution to the system of equations is x = -2, y = -3.

This problem has been solved

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