SOLUTION: What is the solution to the following system of equations? y = x2 + 10x + 11 y = x2 + x – 7

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Question 552086: What is the solution to the following system of equations?
y = x2 + 10x + 11
y = x2 + x – 7
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

The simplest way to do this,

is to just set the two right hand sides of the equations equal to each other.

This is because they both equal y.

x%5E2%2B10x%2B11=x%5E2%2Bx-7 given

10x%2B11=x-7 subtracted x%5E2 from both sides

9x%2B11=-7subtracted x from both sides

9x=-18 subtracted 11 from both sides

x=-2 divided both sides by 9

And of course, we can then plug this value for x into either of the equations:

y=x%5E2%2Bx-7

y=%28-2%29%5E2%2B%28-2%29-7

y=4-2-7

y=-5

So our solution to this system of equations would be:

x=-2 and y=-5 or the point (-2,-5)

I hope this helps! :)

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