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Math Asked by a SnapAndSolve user · about 1 hour ago

Solve the system of equations. {-3x - 2y = 18 4x + 3y = -24 (0, 6) (6, 0) (-6, 0) (0, -6)

Solve the system of equations.
{-3x - 2y = 18
4x + 3y = -24
(0, 6)
(6, 0)
(-6, 0)
(0, -6)

Answer

To solve the system of equations, we can use the method of substitution or elimination. Here, we will use elimination:

  1. Multiply the first equation by 3 to eliminate y:

-9x - 6y = 54

  1. Multiply the second equation by 2:

8x + 6y = -48

  1. Add the two equations:

-9x - 6y + 8x + 6y = 54 - 48

-x = 6

x = -6

  1. Substitute x = -6 into the second equation:

4(-6) + 3y = -24

-24 + 3y = -24

3y = 0

y = 0

The solution is (-6, 0).

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