Find the solution of the system of equations.minus, 7, x, minus, 4, y, equals, minus, 44−7x−4y=−447, x, minus, 3, y, equals, 167x−3y=16

Question

Find the solution of the system of equations.

$-7x - 4y = -44$
$7x - 3y = 16$

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Solution

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

The system of equations is:

-7x - 4y = -44 7x - 3y = 16

Step 1: Add the two equations together. The x terms will cancel out:

-7x - 4y + 7x - 3y = -44 + 16 -7y = -28

Step 2: Divide both sides by -7 to solve for y:

y = 4

Step 3: Substitute y = 4 into the first equation:

-7x - 4*4 = -44 -7x - 16 = -44 -7x = -28 x = 4

So, the solution to the system of equations is x = 4, y = 4.

This problem has been solved

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