SOLUTION: Solve the system of equations by the substitution method. x+11y=51 3x+6y=18 So are you saying there is no solution?

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Question 184797: Solve the system of equations by the substitution method.
x+11y=51
3x+6y=18
So are you saying there is no solution?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations by the substitution method.
x+11y=51
3x+6y=18
Let's see if there is a solution
x = (51 - 11y); use 1st equation for substitution in the 2nd equation:
:
3(51-11y) + 6y = 18
:
153 - 33y + 6y = 18
:
-27y = 18 - 153
:
-27y = -135
y = %28-135%29%2F%28-27%29
y = +5
:
Find x: x = (51-11y)
x = 51 - 11(5)
x = 51 - 55
x = -4
;
:
Check solution in the 2nd equation
3x + 6y = 18
3(-4) + 6(5) =
-12 + 30 = 18