SOLUTION: What value of z makes the equation 2/3Z - 1/2 = -5/12 true; z=-1, z=2, z=1/8, z=-1/8?

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Question 846772: What value of z makes the equation 2/3Z - 1/2 = -5/12 true; z=-1, z=2, z=1/8, z=-1/8?
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
You can find the solution two different ways. One way is by plugging in each of the possible values of z into the equation and find out if the answer is equal to -5/12. OR, you can solve the equation for Z without plugging in the possible values. Let's solve by method 2.

First, we need to subtract (2/3)Z and 1/2:

%284Z-3%29%2F6=-5%2F12

Next cross multiply the fractions on each side of the equal sign:

12%284Z-3%29=-5%2A6 ----->

48Z-36=-30

Add -36 to both sides of the equal sign:

48Z=-30%2B36 ----->

48Z=6

Divide both sides by 48 to find the value of Z:

%2848Z%29%2F48=6%2F48 ----->

Z=1%2F8