SOLUTION: solve the system by substitution: x+2y=-6 2x=-4y-16

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Question 124896: solve the system by substitution:
x+2y=-6
2x=-4y-16
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!



2x=-4y-16 Start with the second equation


x=%28-4y-16%29%2F2 Divide both sides by 2


x=%28-4y%29%2F2-%2816%29%2F2 Break up the fraction


x=-2y-8 Reduce


Now let's solve the system


x%2B2y=-6
x=-2y-8

by substitution



-2y-8%2B2y=-6 Plug in x=-2y-8 into the first equation. In other words, replace each x with -2y-8. Notice we've eliminated the x variables. So we now have a simple equation with one unknown.




-8=-6 Combine like terms on the left side


0=-6%2B8Add 8 to both sides


0=2 Combine like terms on the right side



Since this equation is never true for any y value, this means there are no solutions.