Math question, help (2)

Test Preparation SAT Preparation
1

<p>3y=2x-6
y=1-cx</p>

<p>In the equations above, x and y are variables and c is a constant. If no ordered pair of numbers (x, y) satisfies both of the equations above, what is the value of c?</p>

<p>A) -3/2
B) -2/3
C) 0
D) 2/3
E) 3/2</p>

<p>Thanks,</p>

2

<p>Here’s a hint to help you see what they are asking: try expressing both lines in y=mx+b form. Then, set the two slopes equal. Because their intercepts are different, you will have two distinct parallel lines with no simultaneous solution.</p>

3

<p>Yep pckeller is right. Always with these types of problems, try to find a way set up equations equal to each other.</p>

4

<p>Yep, pckeller is right - graph link [url=&lt;a href=“http://ge.tt/4tisqD91/v/0?c]answers.jpg[/url”&gt;http://ge.tt/4tisqD91/v/0?c]answers.jpg[/url</a>]
On the other hand,
{3y=2x-6, y=1-cx} -> {y=2x/3 - 2, y=1-cx} -> 2x/3 -2 = 1- cx -> (2+3c) x=9 - > if c=-2/3, which corresponds to the case where the lines do not intersect.</p>