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Find the solution of the system of equations.minus, 2, x, plus, 4, y, equals, minus, 4−2x+4y=−46, x, plus, 6, y, equals, minus, 246x+6y=−24

Question

Find the solution of the system of equations.

  • −2x+4y=−4-2x + 4y = -4
  • 6x+6y=−246x + 6y = -24
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Solution

The system of equations is:

-2x + 4y = -4 6x + 6y = -24

First, let's simplify the equations. Divide the second equation by 6:

x + y = -4

Now we have:

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

Let's solve the system by substitution or elimination. I'll use substitution:

From the second equation, we can express x in terms of y:

x = -4 - y

Substitute x in the first equation:

-2(-4 - y) + 4y = -4 8 + 2y + 4y = -4 6y + 8 = -4 6y = -12 y = -2

Substitute y = -2 in the equation x = -4 - y:

x = -4 - (-2) x = -2

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

This problem has been solved

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