<PRE><B>Question 552086</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;The simplest way to do this,&lt;br&gt;

is to just set the two right hand sides of the equations equal to each other.&lt;br&gt;

This is because they both equal y.&lt;br&gt;

{{{x^2+10x+11=x^2+x-7}}} given&lt;br&gt;

{{{10x+11=x-7}}} subtracted {{{x^2}}} from both sides&lt;br&gt;

{{{9x+11=-7}}}subtracted x from both sides&lt;br&gt;

{{{9x=-18}}} subtracted 11 from both sides&lt;br&gt;

{{{x=-2}}} divided both sides by 9&lt;br&gt;

And of course, we can then plug this value for x into either of the equations:&lt;br&gt;

{{{y=x^2+x-7}}}&lt;br&gt;

{{{y=(-2)^2+(-2)-7}}}&lt;br&gt;

{{{y=4-2-7}}}&lt;br&gt;

{{{y=-5}}}&lt;br&gt;

So our solution to this system of equations would be:&lt;br&gt;

x=-2 and y=-5 or the point (-2,-5)&lt;br&gt;

I hope this helps!  :)&lt;br&gt;

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