how can i solve for x: x/2+x/3=40
help is really appreciated.
2006-11-18 09:50:16 · 16 answers · asked by BLUEEEE 1 in Science & Mathematics ➔ Mathematics
Just a note, I'm showing all the steps in a really slow way:
First multiply both sides by 6, the LCM of 2 and 3. You get:
6x/2+6x/3=40x6
Simplify, with multiplication and division:
3x+2x=240
Now, combine like terms, in this case the X's.
5x=240
Now, divide both sides by 5 to isolate the x and you're left with:
x=48
Hope this helps!!
2006-11-18 10:01:35 · answer #1 · answered by quickster94 3 · 0⤊ 0⤋
x/2+x/3=40 you have to fined a sheared denominator
x/2 * 3/3 = 3x/6
x/3* 2/2 = 2x/6
the equation = 3x/6 + 2x/6 = 40
5x/6=40 multiply both sides by 6
5x = 240 divide by 5
x = 48
wishing you best of luck and Hope that i helped
2006-11-18 17:57:47 · answer #2 · answered by Anonymous · 0⤊ 0⤋
x/2+x/3=40
3x+2x=40x6
5x=240
x=48
you get the comon denominator of the fraction which is 6 and you dived by 6 wich gives you 3x+2x=5x,then you miultiply 40 by 6 to even the fraction then you get x=48
2006-11-18 18:07:16 · answer #3 · answered by sinajina 1 · 0⤊ 0⤋
x/2 + x/3 = 40
common denominator is 6
3x/6 + 2x /6 = 40
5x/6 = 40
multiply by sides by 6
5x = 240
x = 48
48/2 (24) + 48/3 (16) = 40
yeah !
2006-11-18 17:57:50 · answer #4 · answered by Ron 2 · 0⤊ 0⤋
First you need to convert your fractions so they have common denomanators (however that's spelled).
Remember that 1x is the same as x.
x/2=3x/6
x/3=2x/6
Your new problem is 3x/6+2x/6=40
Add the fractiongs to get 5x/6=40
Multiply both sides by 6 to get 5x=240
Solve for x by diving both sides by 5
x=48
Check:
Put 48 in for x and see if it does indeed equal 40.
(48/2)+(48/3)=40
24+16=40
Yep!
2006-11-18 17:56:28 · answer #5 · answered by mandiedq 3 · 0⤊ 0⤋
x/2 + x/3 = 40
6(x/2) + 6(x/3) = 6(40)
3x + 2x = 240
5x/5 = 240/5
the 5's cancel out so x = 48
2006-11-18 18:18:54 · answer #6 · answered by Anonymous · 0⤊ 0⤋
x/2+x/3=40
equate the value of x
x/2=40-x/3
X/2=120-x/3
2(120-x)=x(3)
240-2x=3x
240=3x+2x
240=5x
x=240/5
x=48
checking:
using the equation:
x/2=120-x/3
48/2=120-48/3
24=72/3
24=24
2006-11-18 18:17:29 · answer #7 · answered by liendy_13 1 · 0⤊ 0⤋
x/2 + x/3 = 40
x(1/2+1/3) = 40
half plus a third, mmm, tricky, put over common denominatory of 6
x(3/6+2/6) = 40
x 5/6 = 40
x = 40 * 6/5
x = 48
2006-11-18 17:54:19 · answer #8 · answered by rchlbsxy2 5 · 3⤊ 0⤋
x/2 + x/3 = 40
3x/6 + 2x/6 = 40
(3x + 2x)/6 = 40
5x/6 = 40
5x = 40*6
5x = 240
x = 240/5
x = 48
2006-11-19 08:19:57 · answer #9 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
x=48
2006-11-18 18:02:57 · answer #10 · answered by Angel Girl 5 · 0⤊ 0⤋