6x - 1/5 = 2/3x + 7/5.
Fraction in simplest form
2006-10-10 02:24:51 · 6 answers · asked by VCpage 1 in Education & Reference ➔ Homework Help
For your third term, do you mean 2/3 times x or 2 over 3x? It's unclear, and depending on what you meant you will get two different answers.
I'm going to assume you meant 2/3 times x {which should be written as (2/3)x} and will solve for this.
In general, when solving problems of this type you want to get all your x terms on one side and all your constants on the other side, so you can solve for the value of x.
6x - 1/5 = (2/3)x + 7/5
6x - (2/3)x = 7/5 + 1/5
(16/3)x = 8/5
16x = 24/5
x = 24/(16*5) = 3/10
2006-10-10 02:34:40 · answer #1 · answered by I ♥ AUG 6 · 0⤊ 0⤋
6x - 1/5 = 2/3x + 7/5 add 1/5 to both sides
6x-1/5+1/5 = 2/3x +7/5 + 1/5
6x = 2/3x + 8/5 subtract 2/3x from both sides
6x - 2/3x = 2/3x - 2/3x + 8/5
16/3x = 8/5 multiply by 3/16 on both sides to get x isolated
(3/16)(16/3x) = (3/16)(8/5)
x = 3/10
Hope this helps. Good Luck.
2006-10-10 09:33:34 · answer #2 · answered by SmileyGirl 4 · 0⤊ 0⤋
6x - 1/5 = 2/3x + 7/5
1) add 1/5 to both sides
6x - 1/5 + 1/5 = 2/3x + 7/5 + 1/5
6x = 2/3x + 8/5
2) subtract 2/3x from both sides
6x - 2/3x = 8/5
18/3x - 2/3x = 8/5
16/3x = 8/5
3) multiply both sides by 3/16
3/16(16/3)x = 3/16(8/5)
x=24/80
4) reduce by 8
x= 3/10
2006-10-10 09:33:53 · answer #3 · answered by ezgoin92 5 · 0⤊ 0⤋
6x - 1/5= 2/3x +7/5 subtract 2/3x from both sides
5 1/3 x -1/5=7/5 add 1/5 to both sides
5 1/3 x=8/5 5 1/3= 16/3 divive throught by 16/3
x= (8/5)/(16/3)=(1/5)/(2/3)=1/5 x 3/2=3/10
3/10
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2006-10-10 09:42:18 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Multiply through out by 15.You will get rid of fractions. Then collect terms containg x on the left and pure numbers on the right.Solve to get x.
2006-10-10 09:39:38 · answer #5 · answered by Rajesh Kochhar 6 · 0⤊ 0⤋
uve got me confused
2006-10-10 09:28:36 · answer #6 · answered by sparkynicci 3 · 0⤊ 2⤋