(5)/(4x)+(1)/(x)=(3)/(4)
2006-11-13 00:43:27 · 10 answers · asked by melodym28_99 2 in Science & Mathematics ➔ Mathematics
5/4x + 1/x = 3/4
First, multiply everything by 4 to get rid of the denominators.
So now you have:
5/x + 4/x = 3
now multiply everything by x to get:
5 + 4 = 3x
9 = 3x
divide each side by 3
x = 3
now check your answer by replacing x with 3
2006-11-13 00:54:03 · answer #1 · answered by ♪ ♫ ☮ NYbron ☮ ♪ ♫ 6 · 0⤊ 0⤋
3
2006-11-13 09:46:46 · answer #2 · answered by virendra s 2 · 0⤊ 0⤋
3
2006-11-13 09:43:24 · answer #3 · answered by Olha K 2 · 0⤊ 0⤋
3
2006-11-13 08:53:27 · answer #4 · answered by jaguar 1 · 0⤊ 0⤋
x = 3
2006-11-13 08:48:11 · answer #5 · answered by Prakkhar Gupta 1 · 0⤊ 0⤋
5/4x + 1/x = 3/4
5/4x =(4/4)(1/x) = 3/4
5/4x +4/4x =3/4
9/4x= 3/4
3*4x = 9*4 [See note below]
12x = 36
x = 3
Note: If you have two fractions equal to each other such as
a/b = c/d, then it is always true that ad= bc. This is called cross multiplying and is very useful in solving certain equations.
2006-11-13 08:59:26 · answer #6 · answered by ironduke8159 7 · 0⤊ 0⤋
5 / 4x + 1/x = 3/4
5 / 4x + 4 / 4x = 3/4
9 / 4x = 3/4
36 = 12x
3 = x
2006-11-13 09:28:53 · answer #7 · answered by C D 3 · 0⤊ 0⤋
(5)/(4x)+(1)/(x)=(3)/(4)
=> (5)/(4x)+(4*1)/(4x)=(3)/(4)
=> (5+4)/(4x)=(3)/(4)
=> 9/4x = 3/4
=> 4x/9 = 4/3
=> x/3 = 1
=> x = 3
2006-11-13 08:51:05 · answer #8 · answered by Paritosh Vasava 3 · 0⤊ 0⤋
take lcm
(5+4)/4x=3/4
9/4x=3/4
cross multiply
36=12x
x=3
2006-11-13 08:48:07 · answer #9 · answered by Dupinder jeet kaur k 2 · 0⤊ 0⤋
(5)/(4x)+(1)/(x)=(3)/(4) multiply by 4x
5+4=3x
9=3x
x=3
2006-11-13 11:29:51 · answer #10 · answered by yupchagee 7 · 0⤊ 0⤋