Solve the equation (3x - 1.5)/(0.9 - 1.5) = 0 and verify the solution? ​

Question

Solve the equation


`(3x - 1.5)/(0.9 - 1.5) = 0`
and verify the solution?
​

Answer 1

x = 0.5

Explanation:

the denominator of the rational expression cannot be zero as this would make it undefined.

we have to therefore equate the numerator to zero and solve for x

3x - 1.5 = 0 ( add 1.5 to both sides )

3x = 1.5 ( divide both sides by 3 )

x = 0.5

As a check

`(3x-1.5)/(0.9-1.5)`

=
`(3(0.5)-1.5)/(-0.6)`

=
`(1.5-1.5)/(-0.6)`

=
`(0)/(-0.6)`

= 0 thus solution is verified