SOLUTION: 5x + 2y = -36 x = 6 - 7y

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Question 178292: 5x + 2y = -36
x = 6 - 7y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2B2y=-36 Start with the first equation.


5%286-7y%29%2B2y=-36 Plug in x=6-7y. In other words, replace each x with 6-7y. Notice we've eliminated the x variables. So we now have a simple equation with one unknown.


30-35y%2B2y=-36 Distribute


-33y%2B30=-36 Combine like terms on the left side


-33y=-36-30Subtract 30 from both sides


-33y=-66 Combine like terms on the right side


y=%28-66%29%2F%28-33%29 Divide both sides by -33 to isolate y



y=2 Divide




Now that we know that y=2, we can plug this into x=6-7y to find x


x=6-7y Move onto the second equation.


x=6-7%282%29 Plug in y=2


x=6-14 Multiply


x=6-14 Combine like terms.


So our answer is x=-8 and y=2 which form the ordered pair



Notice if we graph the two equations, we can see that their intersection is at . So this verifies our answer.


Graph of 5x%2B2y=-36 (red) and x=6-7y (green)