<p>Question: If x = 3m - 4 and y = 6 - m, which of the following expresses y in terms of x?</p>
<p>Choices:
A. y = 2x - 4
B. y = x+10 / 3
C. y = 2+x / 3<br>
D. y = x - 4/3
E. y = 14-x / 3</p>
<p>Can someone explain how to do these problems for me?</p>
<p>What you want to do is solve for m in whichever equation it’s easier to so in, then substitute that in to the other equation. For instance:</p>
<p>X=3m-4
Y=6-m
Solve the 2nd equation to get m=6-y
Plug that into the first equation to get x=3(6-y)-4
X=18-3y-4
X-14=-3y
14-x=3y
Y=(14-x)/3, which is answer choice E.</p>
<p>Did that help?</p>
<p>You can also check your answer by plugging in any constant for m. If you plug 1 in for m in the two equations, x=-1 and y=5. When you plug those into answer choice E, you get 5=5, which is true, so it gives you a pretty good idea that you’re right (to know for sure, you’d have to test multiple constants for m and have them all work).</p>
<p>x = 3m - 4 → m = (x+4)/3</p>
<p>Substitute into the second equation:</p>
<p>y = 6 - (x+4)/3 = (14-x)/3, E.</p>