I can not figure this out! Someone please help!!!!!!
2007-07-18 08:35:11 · 9 answers · asked by amber 3 in Science & Mathematics ➔ Mathematics
(1/4 + 6/4) x = 7 : add fractions using common denom (multply 2nd fraction by 2).
7/4 x = 7 : added
7 x = 28 : multiply by 4
x = 4 : divide by 7
If the problem is actually 1 / (4x) + 3 / (2x) = 7 , the working is similar, but the answer is quite different than the above.
1 / (4x) + 6 / (4x) = 7 : common denom by mult 2nd by 2
7 / (4x) = 7 : add
{7 / (4x)} (4x) = 7 (4x) ; take both sides by 4x to get it out of the denominator
7 = 28x : multiply and simplify
x = 1/4 : divide by 28
2007-07-18 08:53:18 · answer #1 · answered by Don E Knows 6 · 0⤊ 0⤋
Ok well first you need a common denominator so that you can combine your x's. So1/4 x + 3/2 x is the same as 1/4x + 6/4x which is 7/4x. Then you multiply both sides by 4/7. That leaves x by itself on one side and 7 times 4/7 is equal to 4.
So your answer is x=4
2007-07-18 15:41:13 · answer #2 · answered by missvictoria30 5 · 0⤊ 0⤋
1/4x + 3/2x = 7
Multiply both sides by x:
x(1/4x + 3/2x) = 7x
x/4x + 3x/2x = 7x
The x/x cancel:
1/4 + 3/2 = 7x
Put everything over common denominator (4)
1/4 + 6/4 = 28x/4
( 6/4 = 3/2 and 28/4 = 7)
Multiply both sides by 4
4(1/4 + 6/4) = 4(28x/4)
The 4/4 cancel:
1 + 6 = 28x
7 = 28 x
divide both sides by 28
7/28 = 28x/28 = x
x = 7/28 = 1/4
2007-07-18 15:40:01 · answer #3 · answered by Raymond 7 · 1⤊ 0⤋
1/4x + 3/2x = 7
x + 6x = 28
7x = 28
x = 4
1/4*4 + 3/2*4 = 1 + 6 = 7 QED
2007-07-18 15:40:16 · answer #4 · answered by gebobs 6 · 0⤊ 0⤋
x=1/4
2007-07-18 15:39:14 · answer #5 · answered by aviral17 3 · 0⤊ 0⤋
I'll assume this is (1/4)x+(3/2)x = 7
You need to get a common denominator. In this case just multiply the right term by 2/2:
(1/4)x+(6/4)x = 7
Add like terms:
(7/4)x = 7
Divide both sides by 7/4:
x = 4
2007-07-18 15:40:39 · answer #6 · answered by ooorah 6 · 0⤊ 0⤋
1/4x +3/2x = 7
1/4x 6/4x = 7
7/4x = 7
x = 7 / (7/4)
x = 7 * 4/7
x = 28/7
x = 4
Proof:
1/4(4) + 3/2(4) = 7
1 + 6 = 7
2007-07-22 10:47:40 · answer #7 · answered by Jun Agruda 7 · 2⤊ 0⤋
1/(4x) + 3/(2x) = 7
Multiply both sides by 4x
4x/4x + (3)(2)(2x)/2x = (7)(4x)
1 + 6 = 28x
28x = 7
x = 1/4
OR==========
(1/4)x + (3/2)x = 7
Multiply both sides by 4
x + 6x = 28
7x=28
x=4
2007-07-18 15:46:43 · answer #8 · answered by gugliamo00 7 · 0⤊ 0⤋
u must first get common denominators by mult. 3/2x by two...
so it would look like this... 1/4x + 6/4x= 7...then u add the two terms so it looks like this... 7/4x=7
Then u mult. both sides by 4/7 to get the x by itself
so you answer is 1/4
2007-07-18 15:39:57 · answer #9 · answered by James W 2 · 0⤊ 0⤋