SOLUTION: solve system by substitution, x+2y=6 3x-y=-10

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Question 111387: solve system by substitution,
x+2y=6
3x-y=-10

Answer by BrittanyM(80)   (Show Source): You can put this solution on YOUR website!
We must solve for a single variable out of either of the equations first.
Let's choose x+2y=6
By isolating the x, we have x=-2y+6
Now let's plug this into the second equation.
3(-2y+6)-y=10
Using the distributive proporty:
-6y+18-y=10
Combine like terms:
-7y=-8
y=8/7
Now plug y into either equation and solve for x.
x+2(8/7)=6
x+16/7=6 Let 6 be 42/7
x=42/7-16/7
x=26/7

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