[(1/7)(3x-2)]=(x+10)/5
..sorry for the poor notation
The answer is 10, but I don't know how to get to it.
2007-06-08 16:02:30 · 11 answers · asked by Princess 2 in Science & Mathematics ➔ Mathematics
To avoid distributing the 1/7 which would only make more fractions, place the (3x - 2) over the 7:
(3x - 2) / 7 = (x + 10) / 5
cross multiply the 7 and 5:
5(3x - 2) = 7(x + 10)
distribute to get:
15x - 10 = 7x + 70
add 10 to each side:
15x = 7x + 80
subtract 7x from each side:
8x = 80
divide by 8:
x = 10
2007-06-08 16:08:12 · answer #1 · answered by MathGuy 6 · 0⤊ 0⤋
1.) To eliminate any fractions multiply both sides by the Least common denominator ( which is 35).
35[(1/7)(3x-2)] = [(x+10)/5]35
5(3x-2) = 7(x+10)
2.) The rest is basic algebra.
15x-10 = 7x+ 70
8x = 80
x = 10
2007-06-08 23:08:16 · answer #2 · answered by whatcanmaxdo4u?everythingupscant 3 · 0⤊ 0⤋
Multiply both sides by 35:-
5.(3x - 2) = 7.(x + 10)
15x - 10 = 7x + 70
8x = 80
x = 10
2007-06-09 07:33:24 · answer #3 · answered by Como 7 · 0⤊ 0⤋
Distribute the 1/7 on the left side:
(3/7)x - (2/7) = (x + 10)/5
Multiply both sides by 5:
(15/7)x - (10/7) = x + 10
Get all x's on one side and all others on the other:
(8/7)x = 80/7
Multiply both sides by (7/8):
x = 10
2007-06-08 23:08:17 · answer #4 · answered by yeeeehaw 5 · 0⤊ 0⤋
[(1/7)(3x-2)]=(x+10)/5
(3x-2)/7 = (x+10)/5
Multiply all by 35
5(3x-2) = 7(x+10)
15x - 10 = 7x + 70
8x = 80
x = 10
2007-06-08 23:10:05 · answer #5 · answered by Steve A 7 · 0⤊ 0⤋
multiply both sides by 35 to get rid of the fractions
5(3x-2) = 7(x+10)
15x-10 = 7x + 70
8x = 80
x= 10
2007-06-08 23:09:09 · answer #6 · answered by steffers27 5 · 0⤊ 0⤋
(3x-2)/7 = (x+10)/5
cross multiply to give you:
5*(3x-2) = 7*(x+10)
distribute:
15x-10 = 7x-70
solve for x:
15x = 7x + 80
8x = 80
x = 10
2007-06-08 23:11:57 · answer #7 · answered by slay_09 2 · 0⤊ 0⤋
3x/7 - 2/7 = x/5 +2
3x/7 -x/5 = 10/5 + 2/7
(15x -7x)/35 = (70 + 10)/35
15x-7x = 70+10
8x = 80
x=10
2007-06-08 23:09:25 · answer #8 · answered by skipper 7 · 0⤊ 0⤋
written differently (3x-2)/7=(x+10)/5
Multiply both sides by 35 (5*7)
15x-10=7x+70
8X=80
x=10
2007-06-08 23:12:21 · answer #9 · answered by blizebliz 5 · 0⤊ 0⤋
Treat it like a proportion. Use the distributive property for both sides first. Combine all the like terms until you have x on one side and a number on the other.
2007-06-08 23:06:55 · answer #10 · answered by Anonymous · 0⤊ 1⤋