SOLUTION: Solve each system by the substitution method. 3x+y=2 -x-3y=6
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Question 121020
:
Solve each system by the substitution method.
3x+y=2
-x-3y=6
Answer by
checkley71(8403)
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3X+Y=2 OR Y=-3X+2 NOW SUBSTITUTE (-3X+2) FOR Y IN THE OTHER EQUATION:
-X-3(-3X+2)=6
-X+9X-6=6
8X=6+6
8X=12
X=12/8
X=1.5 ANSWER.
Y=-3*1.5+2
Y=-4.5+2
Y=-2.5 ANSWER.
PROOF
-1.5-3*-2.5=6
-1.5+7.5=6
6=6