<PRE><B>Question 369130</B>
Put the two equations into the same standard form: &lt;br&gt;

{{{2x-y=8}}}&lt;br&gt;

{{{-5x+y=3}}}&lt;br&gt;

Now if you add the two equations up, guess what will happen?&lt;br&gt;

You will &quot;eliminate&quot; the y variable, and only be left with the x variable.&lt;br&gt;

Technically, you will get:&lt;br&gt;

{{{2x-y+(-5x)+y=8+3}}}&lt;br&gt;

{{{-3x+0y=11}}}&lt;br&gt;

{{{-3x=11}}}&lt;br&gt;

{{{x=-11/3}}}&lt;br&gt;

Now we can just substitute this known x value back into either equation and find the y value.&lt;br&gt;

{{{2x-y=8}}}&lt;br&gt;

{{{2*(-11/3)-y=8}}}&lt;br&gt;

{{{-22/3-8=y}}}&lt;br&gt;

{{{-22/3-24/3=y}}}&lt;br&gt;

{{{y=-46/3}}}&lt;br&gt;

&lt;b&gt;The solution to this system of equations should be x=-11/3 and y=-46/3 or the point (-11/3,-46/3)&lt;/b&gt;&lt;br&gt;

The solution to a system of two linear equations will be a single point, unless the two lines are parallel or the two lines are actually the same line.&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>