Question

Solve using the addition method
2x-3y=8
3x+2y=-1

Answer 1

the goal is for one the columns, either x or y to cancel when added together
look at y column
-3 and 2, they will cancel if we multiply -3*2 and 2*3
now do that for the whole row
2x*2 -3y*2 = 8*2
3x*3 +2y*3 = -1*3
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4x -6y =16
9x +6y = -3
________________
13x +0 = 13
x = 13/13 = 1

Answer 2

2x-3y=8 Multiply this equation by 2 to eliminate y
3x+2y=-1 Multiply this equation by 3 to eliminate y

4x-6y=16
9x+6y=-3

13x=13
x=1

3(1)+2y=-1 Substituting x=1 into the second equation to find y
3+2y=-1
2y=-4
y=-2

Therefore, x=1 and y=-2

Answer 3

Thank you :)

Answer 4

You're welcome