1) Solving that linear system using the elimination method, we'll proceed this way.
1.1 Choose one variable to be canceled out firstly. Let's choose the x variable:
6x + 5y = -15
-2x -3y= 17 Multiply this whole equation by 3
6x + 5y = -15
-6x -9y= 51 Add both equations
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0 -4y =36 Divide both sides by -4
y = -9
2) Now let's plug into any equation, usually the one with smaller numbers y= -9
-2x -3(-9) = 17
-2x +27 = 17 Subtract 17 from both sides
-2x =17-27
-2x = -10 Divide both sides by -2
x= 5
3) So the solution is (5, -9)
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