Question 94749
3x + 2y = 17
2x - y = 2
multiply the bottom equation times 2.  4x-2y=4
now add the 2 equations vertically
3x+2y=17
4x-2y=4
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7x=21
divide both sides by 7.  
x=3
replace x with 3 in either of the original equation.
(2*3)-y=2
6-y=2
subtract 6 from both sides. -y=-4
y=4
Check in the top equation. (3*3)+(2*4)=17
Ed Jones