SOLUTION: solve each by the substitution method. Y=2x+6 3x-2y=-11 x+3y=-3 2x+y=4

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Question 626365: solve each by the substitution method.
Y=2x+6
3x-2y=-11

x+3y=-3
2x+y=4

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve each by the substitution method.
Y=2x+6
3x-2y=-11
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Substitute for "y" and solve for "x":
3x - 2(2x+6) = -11
3x - 4x - 12 = -11
-x = 1
x = -1
---
Solve for "y":
y = 2x+6
y = 2*-1+6
y = 4
-----------------
x+3y=-3
2x+y=4
----
Solve 1st for "y":
y = 4-2x
---
Substitute for "y" and solve for "x":
x + 3(4-2x) = -3
x + 12 - 6x = -3
-5x = -15
x = 3
---
Solve for "y":
y = 4-2x
y = 4-2*3
y = -2
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Cheers,
Stan H.
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