Question

Solve for x

`(x)/(7)` −
`(x)/(9)` =−1

Answer 1

`x = ( - 63)/(2) \: or \: - 31.5`

Explanation:

`(x)/(7) - (x)/(9) = - 1`

Lets take the L.C.M of 7 & 9.

L.C.M of 7 & 9 = 63

`= > (9x - 7x)/(63) = - 1`

`= > (2x)/( 63) = - 1`

Now lets multiply 63 on both the sides.

`= > (2x)/( 63) * 63 = (- 1) * 63`

`= > 2x = - 63`

Now lets divide both the sides by 2.

`= > (2x)/(2) = ( - 63)/(2)`

`= > x = ( - 63)/(2) = - 31.5`