<PRE><B>Question 368863</B>
The point (5,1) is a solution to the equation 2x-3y=7 if and only if when replacing the variables x and y with 5 and 1 respectively, you end up with a true statement. &lt;br&gt;

So, we will use 2x-3y=7 and replace the x&#39;s with 5 and the y&#39;s with 1:&lt;br&gt;

2x-3y=7&lt;br&gt;

2*(5)-3*(1)=7&lt;br&gt;

10-3=7&lt;br&gt;

&lt;b&gt;7=7 this is a TRUE statement!&lt;/b&gt;&lt;br&gt;

Therefore, we are assured that the point (5,1) IS indeed a solution to the equation 2x-3y=7&lt;br&gt;

Also, see the graph and more details below, I hope this helps!&lt;br&gt;

*[invoke describe_linear_equation 2, -3, 7]&lt;br&gt;</PRE>