Question

Find x and p: `1/3 - x/3 = (7x)/12 + 5/4`

Answer 1

Transposing `(-x)/3` to the other side, it becomes + `x/3`

∴ `1/3 = (7x)/12 + 5/4 + x/3`

Transposing `5/4` to the other side, it becomes `(-5)/4`

`1/3 - 5/4 = (7x)/12 + x/3`

Multiply by 12 throughout we look at the denominators 3, 4, 12, 3 and take the L.C.M, which is 12

`1/3 xx 12 - 5/4 xx 12 = (7x)/12 xx 12 + x/3 xx 12`

4 – 15 = 7x + x × 4

– 11 = 7x + 4x

11x = – 11

x = – 1