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Equation 1)   3x -2y = 17
Equation 2)  -4x - 3y = 17

Multiply equation 1 by 3.

1)  3(3x - 2y = 17)
1)  9x - 6y = 51

Multiply equation 2 by 2.

2)  2(-4x - 3y = 17)

2)  -8x - 6y = 34
1)  9x - 6y = 51

Subtract equations from each other.

-17x = -17

Divide both sides by -17.

x = 1

Plug in 1 for x in the first equation.

3x - 2y = 17

3(3) - 2y = 17

Simplify.

9 - 2y = 17

Subtract 9 from both sides.

-2y = 17 - 9

Simplify.

-2y = 8

Divide both sides by -2.

y = -4

x = 1, y = -4

~Hope I helped!~
x=1 and y=-7
Hope this will help you!