1. x-y=8
x+y=10
2x=18
x=9
y=1
2. 1/3x+1/5y=3
1/3x+1/5y-3=0
5x+3y-45=0
5x+3y=45
1/3x-1/2y=-4
1/3x-1/2y+4=0
2x-3y+24=0
2x-3y=-24
x=45/8
2*45/8-3y=-24
Y=47/4
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Verified answer
1. x-y=8
x+y=10
2x=18
x=9
y=1
2. 1/3x+1/5y=3
1/3x+1/5y-3=0
5x+3y-45=0
5x+3y=45
1/3x-1/2y=-4
1/3x-1/2y+4=0
2x-3y+24=0
2x-3y=-24
5x+3y=45
2x-3y=-24
x=45/8
2x-3y=-24
2*45/8-3y=-24
Y=47/4