Math Question

<p>Whats the easiest way to solve this problem? may way took a LONG TIME.</p>

<ol>
<li>In the xy plane a point with coordinates (a,b) lies on both of the lines y = 2x+3 and y = 1-3x. which of the following equations must be true.
a.a=b
b.a=b+4
c.a=2b
d.a=2b+4
e.a=4-2b</li>
</ol>

<p>Plug (a,b) into each equation:
b = 2a + 3
b = 1 - 3a</p>

<p>Add the equations:
2b = 4 - a</p>

<p>Solve for a:
a = 4 - 2b</p>

<p>Voil</p>

<p>^purplepotato, nice job explaining the answer.</p>

<p>

</p>

<p>The first key thing to recognize a = x and y = b. If you can recognize this the problem becomes so much easier.</p>

<p>The next key thing to recognize y = y or b = b which will allow you to set the equations equal to each other.</p>

<p>(See purplepotato’s work)</p>