Question

3/2x+1/3=10 5/6 what does x equal to

Answer 1

x = 7

Explanation:

So we have:

`(3)/(2)x + (1)/(3) = 10(5)/(6)`

In order to make this simpler, we have to make each fraction have a common denominator. Since 2*3=6, let's have 6 be that denominator. Here's what we do for the three fractions:

`(3)/(2)*(3)/(3) = (9)/(6)\\ (1)/(3)*(2)/(2) = (2)/(6)\\\10(5)/(6) = (60+5)/(6) = (65)/(6)`

Putting those back into our equations, we have:

`(9)/(6)x + (2)/(6) = (65)/(6)`

We must isolate the x on one side and solve for it by combining like terms:

`(9)/(6)x + (2)/(6) - (2)/(6)  = (65)/(6) - (2)/(6)\\ (9)/(6)x = (63)/(6)\\(9x)/(6)*(6)/(9) = (63)/(6) * (6)/(9)\\\x = 7`

Our answer is x = 7.