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x/2 + 4 = 13 - x/4

2007-02-09 13:19:22 · 5 answers · asked by That_guy 4 in Science & Mathematics Mathematics

5 answers

multiply both side by 4 and then try to solve it ur self

2007-02-09 13:22:39 · answer #1 · answered by san 3 · 0 2

Whenever you are dealing with fractions, it is best to rewrite them all with the least common denominator. In this case, the LCD is 4 and you should rewrite x/2 as 2x/4. You now have

2x/4 + 4 = 13 - x/4

Collecting the x's on the left and the non-x's on the right, you get

2x/4+x/4 = 13 - 4

or

3x/4 = 9

To get the x by itself, you need to multiply by the reciprocal of its coefficient (the coefficient in this case is 3/4, so the reciprocal is 4/3). Remember, whatever you do to the left you must also do to the right, so you must also multiply the right side by 4/3. That leaves you with

x =9*4/3 or 36/3 or 12

Don't forget to substitute into the original equation to make sure it works!

12/2 + 4 =? 13 - 12/4

6 + 4 =? 13 - 3

10 = 10

!!!

2007-02-09 21:27:36 · answer #2 · answered by MosesMosesMoses 2 · 0 0

Solve for "x" ... x/2 + 4 = 13 - x/4

First: eliminate fractions --- multiply the denominators with each term....

(2)(4)(x/2)+(2)(4)(4)=(2)(4)(13)-(2)(4)(x/4)


Sec: cross cancel "like" terms & combine the remaining terms....

(4)(x)+(2)(4)(4)=(2)(4)(13)-(2)(x)

4x + 32 = 104 - 2x

Third: combine "like" terms --- combine the coefficients with the "x" variable > add 2x with both sides....

4x + 2x + 32 = 104 - 2x + 2x

6x +32 = 104

*Subtract 32 from both sides...

6x +32 - 32 = 104 - 32

6x = 72

Fourth: isolate "x" on one side --- divide both terms by "6"...

6x/6 = 72/6

x = 72/6

x = 12

2007-02-09 22:08:53 · answer #3 · answered by ♪♥Annie♥♪ 6 · 0 0

Multiply by 4
2x + 16 = 52 - x
3x = 36
x = 12

2007-02-09 21:23:23 · answer #4 · answered by leo 6 · 0 0

Good luck pal there seems to be a couple of good answers here. Me I'm terrible at math you know.

2007-02-10 14:03:27 · answer #5 · answered by Pretty Brown Eyes 4 · 0 0

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