<PRE><B>Question 371166</B>
&lt;br&gt;&lt;font face=&quot;Tahoma&quot;&gt;If you subtract the first equation from the second equation, you will &quot;eliminate&quot; the x variable! &lt;br&gt;

What you need to do is just subtract like terms, ie subtract 7x from 7x, subtract 8y from 10y, and subtract 51 from 55.&lt;br&gt;

You will end up with&lt;br&gt;

{{{2y=4}}}&lt;br&gt;

{{{y=2}}}&lt;br&gt;

Then just plug y=2 back into either one of the equations.&lt;br&gt;

{{{7x+10y=55}}}&lt;br&gt;

{{{7x+10*2=55}}}&lt;br&gt;

{{{7x+20=55}}}&lt;br&gt;

{{{7x=35}}}&lt;br&gt;

{{{x=5}}}&lt;br&gt;

Therefore, the ONLY solution to this system of equations is:&lt;br&gt;

x=5 and y=2, or the point (5,2)&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>