(-5, 2)
1) Solving this Linear System with the method of Addition/Elimination:
2x + 3y=-4
x + 9y = 13 x-2 Multiply the whole equation by -2
2x +3y = -4
-2x -18y= -26
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-15y= -30
15y= 30 Divide both sides by 15
y = 2
2) Plug into the simpler equation y=2
x +9y = 13
x + 9(2) = 13
x +18 = 13
x =13-18
x= -5
3) So the answer is (-5, 2)