Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 169773: (7x/4)-[(6x-(1)]/2)=(3/4)
The fractions really mess me up. I am sorry but my work makes no sense so I will just leave it off.
: (7x/4)-[(6x-(1)]/2)=(3/4)
The fractions really mess me up. I am sorry but my work makes no sense so I will just leave it off.

Answer by solver91311(2185) About Me  (Show Source):
You can put this solution on YOUR website!
(7x/4)-((6x-(1))/2)=(3/4)

Just multiply the (6x-(1))/2 part by 1 in the form of 2/2 so that all of the denominators are the same, namely 4:

((6x-(1))/2)(2/2)=(12x-2)/4 so that

(7x/4)-((6x-(1))/2)=(3/4) (your original problem) becomes:

(7x/4)-((12x-2)/4)=(3/4)

Now you can collect like terms in the numerators (because you can just add numerators anytime the denominators are equal).

(-5x+2)/4=3/4

Multiply both sides of the equation by 4

-5x+2=3

Add -2 to both sides

-5x=1

And finally divide both sides by -5

x=-(1/5)

Check the answer by substituting -(1/5) for x in the original equation and do the arithmetic to see if a true statement results. I'll leave this part as an exercise for the student.