Question

Solve by using elimination 3x-2y=1. 8x+3y=2

Answer 1

Elminate the y's
multiiply first euation by 3 and multiply 2nd equation by 2 and ad them

9x-6y=3
16x+6y=4 +
25x+0y=7

25x=7
divide both sides by 25
x=7/25
sub back

3x-2y=1
3(7/25)-2y=1
21/25-2y=1
note: 1=25/25
minus 21/25 fromboth sides
-2y=4/25
divide both sides by -2 (or times -1/2)
y=4/-50
y=-2/25

x=7/25
y=-2/25

(-2/25,7/25)