SOLUTION: Can I get help with Solving Systems please? Solve The System 5(x+1)-(y+3)=-6 2(x-2)+3(y-1)=0 Using the Distributive property, I get.. 5x+5-y-3=-6 2x-4+3y-3=0 The corre

Question 779396: Can I get help with Solving Systems please?
Solve The System
5(x+1)-(y+3)=-6
2(x-2)+3(y-1)=0
Using the Distributive property, I get..
5x+5-y-3=-6
2x-4+3y-3=0
The correct answer is (-1, 3) however, I keep ending up with fractions and the standard form of Ax+By=C and cannot figure out what im doing wrong. Any help of how to get to the correct answer of (-1,3) would be appreciated! thank you!
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
5x-y+2=-6
5x-y=-8
y=5x+8
------------------
2x+3y=7
2x+3(5x+8)=7
2x+15x+24=7
17x=7-24
17x=-17
x=-17/17
x=-1
-----------
2*-1+3y=7
-2+3y=7
3y=9
y=9/3
y=3
(-1,3)
------------
5x-y=-8
5*-1-3=-8
-8=-8
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