SOLUTION: Can someone help me please? I am having a problem solving this. Thank-you, much. x+5y=3 (1) x=5-5y (2)

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Question 194296: Can someone help me please? I am having a problem solving this. Thank-you, much.
x+5y=3 (1)
x=5-5y (2)

Found 2 solutions by Earlsdon, edjones:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve the system of equations:
1)
2) Substitute this into equation 1) for x and solve for y.
1a) Simplify.
1b) Not so!!! There is no solution to this sytem of equations.
These two equations represent parallel lines.

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
1)
x+5y=3
5y=3-x
y=3/5 - x/5
.
2)
x=5-5y
-5y=x-5
y=1 - x/5
.
Since the slopes are equal (-x/5) but y in equation 1) is not equal to y in equation 2) then there is no answer to the system because the lines are parallel.
.
Ed
.

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