SOLUTION: i need help om elimination method 3y=x 5x+14=y thank you mike

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Question 44678: i need help om elimination method
3y=x
5x+14=y
thank you mike

Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!
3y=x + 0
1y=5x+14 [Rearrange the terms and line up like-terms]
__________
.
.
3y= x + 0
-3(y=5x+14) [Multiply either equation by a number that will cause the elimination of one of the variarables]
.
.
+3y = x + 0
-3y=-15x-42 [Distribute the (-3) which will cause the elimination of "y"]
____________
0x=-14x-42
.
.
0 = -14x-42 [Solve for x]
.
42=-14x
.
.
42/-14=x
.
x=-3
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Plug x=-3 into both of the original equations and solve for y.
.
3y=x
3y=(-3)
y=-3/3
y=-1
.
.
5x+14=y
5(-3)+14=y
-15+14=y
-1=y
Answer: x=-3, y=-1

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