You can put this solution on YOUR website! Starting with
3x-5y=8
-2x+3y=3
Multiply the first equation by 2 and the second equation by 3 to solve for y
2(3x-5y=8)
3(-2x+3y=3)
to get
6x-10y=16
-6x+9y=9
Add the equations together
6x + -6x - 10y + 9y = 16 + 9
Combine like terms
-y = 25
Divide both sides by -1
y = -25
...
To solve for x, multiply the first equation by 3 and the second equation by 5
3(3x-5y=8)
5(-2x+3y=3)
to get
9x-15y=24
-10x+15y=15
Add the equations together
9x + -10x - 15y + 15y = 24 + 15
Combine like terms
-x = 39
Divide both sides by -1
x = -39
...
Proof
3(-39)-5(-25) = -117 + 125 = 8
-2(-39)+3(-25) = 78 - 75 = 3
............
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