5x-7 divided by 8 = 3x+1 divided by 10
2007-01-08 21:53:08 · 8 answers · asked by shldnfrederick 1 in Science & Mathematics ➔ Mathematics
(5x - 7) / 8 = (3x + 1) / 10
Now multiply both sides by 40 (common denominator for 8 and 10):
5(5x - 7) = 4(3x + 1)
Now distribute through:
25x - 35 = 12x + 4
Subtract 12x from both sides:
13x - 35 = 4
Add 35 to both sides:
13x = 39
Divide both sides by 13:
x = 3
2007-01-08 21:58:26 · answer #1 · answered by Puzzling 7 · 1⤊ 0⤋
(5x - 7)/8 = (3x + 1)/10
Multiply through by 40
5(5x - 7) = 4(3x + 1)
Expand brackets
25x - 35 = 12x + 4
Subtract 12x and add 35 to each side
13x = 39
Divide each side by 13
x = 39/13
Simplify
x = 3
2007-01-08 22:00:00 · answer #2 · answered by Tom :: Athier than Thou 6 · 0⤊ 0⤋
the answer is 3
you cross multiply and solve for x.
10(5x - 7) = 8(3x + 1) which is
50x - 70 = 24x + 8
now subtract 24x from the right side and subtract it on the left side
26x - 70 = 8
now add 70 to the left side and add it to the right side
26x = 78
now divide 26 on both sides and you get
x = 3
2007-01-08 21:59:22 · answer #3 · answered by Will R. 2 · 0⤊ 0⤋
(5x - 7) : 8 = 3x + 1 : 10
10(5x-7) = 8(3x+1)
50x - 70 = 24x + 8
26x = 8 + 70
x = 78 : 26
x = 3
Solution: {x elements of R | x = 7}
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2007-01-08 23:23:25 · answer #4 · answered by aeiou 7 · 0⤊ 0⤋
I'll give you the answer, but let your tutor know you got it from "yahoo answers" .
(5x-7)/8 = (3x + 1)/10
Cross multiply both sides of equation to get
8(3x + 1) = 10(5x - 7)
Multiply and remove brackets
24x + 8 = 50x - 70
Move x to one side and numbers to other side
-26x = -78; x = 13
2007-01-08 22:33:10 · answer #5 · answered by Paleologus 3 · 0⤊ 1⤋
possibility #1
5x - 7/8 = 3x + 1/10
200x - 35 = 120x + 4
80x = 39
x = 39/80
Possibility #2
(5x - 7)/8 = (3x + 1)/10
5(5x - 7) = 4(3x + 1)
25x - 35 = 12x + 4
13x = 39
x = 3
Since this answer is an integer, it is probably the one you are after.
2007-01-08 22:28:31 · answer #6 · answered by Helmut 7 · 0⤊ 0⤋
5x-7 /8 = 3x+1 /10
24x + 8 = 50x -70
26x = 87
x = 87/26
x = 3.347
2007-01-08 22:36:02 · answer #7 · answered by Dave 1 · 0⤊ 1⤋
(5x-7)/8 = (3x+1)/10
muliply each side by 8
5x-7 = 24x/10 + 8/10
subtract 2.4x from each side and add 7 to each side
2.6x = 7.8
divide each side by 2.6
x = 7.8/2.6
2007-01-08 21:59:54 · answer #8 · answered by kokomojuggler 2 · 0⤊ 1⤋