Question

Solve for x and simplify your answer. (4)/(3)x=-18

Answer 1

`x=-13(1)/(2)`

Explanation:

Given the equation:

`(4)/(3)x = -18`

We can solve for the variable
`x` by multiplying both sides of the equation by the reciprocal of its coefficient.

`x`'s coefficient is
`(4)/(3)`. Therefore, we should multiply both sides by
`(3)/(4)`:

`(3)/(4)\left((4)/(3)x\right) = (3)/(4)(-18)`

`(3\cdot 4)/(4\cdot 3) \cdot x = -(54)/(4)`

`(12)/(12)\cdot x = -(27)/(2)`

`\boxed{x=-13(1)/(2)}`