Question

In the following equations, verify if the given value is a solution of the equation: `2(1)/(2)x + 3(1)/(2)x` = 56 - 2x; x = 7

Answer 1

`2(1)/(2)x + 3(1)/(2)x` = 56 - 2x; x = 7

Simplifying, we get

⇒ `(5)/(2)x + (7)/(2)x` = 56 - 2x

⇒ `(12)/(2)x + 2x` = 56
⇒ 8x = 56
⇒ x = 7
Put x = 7 in above gives, L.H.S. = R.H.S.

Thus, x = 7 is a solution of the equation `2(1)/(2)x + 3(1)/(2)x` = 56 - 2x; x = 7.