Question

How do you solve `1/2+7x/10=13/20`?

Answer 1

answer 1: `color(blue)(x=-137/2`
answer 2 :`color(blue)(x=3/14`

Explanation:

1. Assuming that `7(x/10)`is a mixed fraction:
   `1/2 + 7(x/10) = 13/20`

Solving the mixed fraction:

`1/2 + (10*7 +x)/10 = 13/20`

`1/2 + (70 +x)/10 = 13/20`

The L.C.M of the expression is `20`

`(1*10)/(2*10) + ((70 +x)*2)/(10*2) = 13/20`

`10/cancel20 + (140+2x)/cancel20 = 13/cancel20`

`10 +140 +2x =13`

`2x =13-150`

answer 1: `color(blue)(x=-137/2`

1. Taking `7x/10` as a normal fraction:

`1/2 + 7x/10 = 13/20`

The L.C.M of the expression is `20`

`(1*10)/(2*10) + (7x*2)/(10*2) = 13/20`

`10/cancel20 + (14x)/cancel20 =13/cancel20`

`10+14x=13`
`14x=3`
answer 2 :`color(blue)(x=3/14`