2/3x - 3/4 = 3/4x
how do u solve it?
2007-01-09 12:14:15 · 8 answers · asked by funkypolak17 3 in Education & Reference ➔ Homework Help
Try multiplying everything by 4: 8/3 x - 3 = 3x
Now multiply by 3: 24x - 9 = 9x
Add 9 to both sides: 24x = 9x + 9
Subtract 9x: 15x = 9
Divide by 15: x = 9/15 or 3/5
2007-01-09 12:20:54 · answer #1 · answered by Alan 6 · 0⤊ 0⤋
it's not clear from what you've written if you mean (two thirds of x) or (2 over 3x)... it's hard to write fractions on the screen without using brackets.
If it's the first, and I've changed the "x" to a "z" to avoid confusion with the multiplication, it would be...
(2/3)z - 3/4 = (3/4)z so put the variable on one side of the equation, ie
(2/3 - 3/4)z = 3/4 which means that
(-1/12)z = 3/4 so
-z = (3/4) x 12 = 9, so z = -9
If the equation is 2/(3x) - 3/4 = 3/(4x) then multiply through by x to give ..
2/3 - (3x)/4 = 3/4, then put the x on one side to give
2/3 - 3/4 = (3x)/4 then multiply the lot by 4, so
8/3 - 3 = 3x so
-1/3 = 3x so x = -1/9
Hope I've explained it ok, especially the difference between the two possibilities. Good luck.
2007-01-09 20:39:25 · answer #2 · answered by the_moose 1 · 0⤊ 0⤋
When possible, always get rid of the fractions by multiplying by the LCD, which is 12 in this case. So multiply each expression by 12, and reduce each term.
12(2/3x - 3/4) = 12(3/4x)
12(2/3x) - 12(3/4) = 12(3/4x)
8x - 9 = 9x
Now, this is a simple equation which you should be able to solve.
2007-01-09 20:19:28 · answer #3 · answered by tlf 3 · 0⤊ 0⤋
multiply the entire expression by the common denominator, which is 12 (divisible by both 3 and 4)
you get 8x - 9 = 9x (24/3x - 36/4 = 36/4x)
equals -9 = x or x = -9
2007-01-09 20:24:02 · answer #4 · answered by buz 7 · 0⤊ 0⤋
2/3x - 3/4 = 3/4x
find the common denominator; in this case its 12x then you find out what every denominator needs to be 12x and multiply that into the numerator. and you get:
(2(4))/12x - (3(3x))/12x = (3(3))/12x
not the denominator can be dropped since you can multiply the whole exuasion by 12x and wprk it out you get:
x = -9
yayness
2007-01-09 20:20:14 · answer #5 · answered by Dashes 6 · 0⤊ 0⤋
is the x in the denominator or is it 2/3 of x?
2007-01-09 20:18:48 · answer #6 · answered by Christine 2 · 0⤊ 0⤋
Demcimals
2007-01-09 20:24:04 · answer #7 · answered by Simply Me 2 · 0⤊ 0⤋
its unsolvable -3/4 cant be possible it has to be -3/4x
2007-01-09 20:18:46 · answer #8 · answered by andrew 3 · 0⤊ 0⤋