SOLUTION: Solve each system of equations by the substitution method. 1) y=3x 5x+2y=44 2)x=5y-1 x+2y=13 3)y=2x+7 3x-y=-9 4)-2x+3y=11 x=4y-3 5)y=6x-5 y=-x+9 6)

Algebra ->  Expressions-with-variables -> SOLUTION: Solve each system of equations by the substitution method. 1) y=3x 5x+2y=44 2)x=5y-1 x+2y=13 3)y=2x+7 3x-y=-9 4)-2x+3y=11 x=4y-3 5)y=6x-5 y=-x+9 6)       Log On


   

Question 302875: Solve each system of equations by the substitution method.
1) y=3x
5x+2y=44
2)x=5y-1
x+2y=13
3)y=2x+7
3x-y=-9
4)-2x+3y=11
x=4y-3
5)y=6x-5
y=-x+9
6) -3x+y=7
5x+2y=3
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Sorry, one problem at a time. Repost.


John

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
6) -3x+y=7
5x+2y=3
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The first 5 have one equation with one of the variables in terms of the other, so the substitution is obvious.
In #6, solve eqn 1 for y, then sub into eqn 2.
6) -3x+y=7
y = 3x+7
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5x + 2(3x+7) = 3
5x + 6x+14 = 3
11x + 14 = 3
11x = -11
You can do the rest.