SOLUTION: x=2y-7 y-3x=-9 2x+5y=12 x-6y=-11 x+y=6 3x-3y=13

Question 64740This question is from textbook Algebra 1
: x=2y-7
y-3x=-9

2x+5y=12
x-6y=-11

x+y=6
3x-3y=13

This question is from textbook Algebra 1

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X=2Y-7 NOW SUBSTITUTE (2Y-7) FOR X IN THE OTHER EQUATION WE GET
Y-3(2Y-7)=-9 NOW SOLVE FOR Y
Y-6Y+21=-9
Y-6Y=-9-21
-5Y=-30
Y=-30/-5
Y=6 SOLUTION NOW SUBSTITUTE 6 FOR Y IN EITHER EQUATION & SOLVE FOR X
X=2*6-7
X=12-7
X=5
SOLUTION
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X-6Y=-11
X=6Y-11
2(6Y-11)+5Y=12
12Y-22+5Y=12
17Y=12+22
17Y=34
Y=34/17
Y=2 SOLUTION NOW SUBSTITUTE 2 FOR Y & SOLVE FOR X
X-6*2=-11
X-12=-11
X=-11+12
X=1 SOLUTION
--------------------------------------------------------
X+Y=6
X=6-Y SUBSTITUTE (6-Y) FOR X & SOLVE FOR Y
3(6-Y)-3Y=13
18-3Y-3Y=13
-6Y=13-18
-6Y=-5
Y=5/6 SOLUTION NOW SOBSTITUTE (5/6) FOR Y & SOLVE FOR X
X+(5/6)=6
X=+5/6=6
X=6-5/6
X=5 1/6
X=31/6 SOLUTION
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MERRY CHRISTMAS
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