Question

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Answer 1

x = 18 and x = -
`(5)/(8)`

Explanation:

1

- 4 +
`(x)/(-3)` = - 10 ( add 4 to both sides )

`(x)/(-3)` = - 6 ( multiply both sides by - 3 to clear the fraction )

x = 18

As a check

Substitute x = 18 into the left side of the equation and if equal to the right side then it is the solution.

- 4 +
`(18)/(-3)` = - 4 - 6 = - 10 = right side

Thus x = 18 is the solution

2

- 2x + 3
`(1)/(2)` = 4
`(3)/(4)` ( change mixed numbers to improper fractions )

- 2x +
`(7)/(2)` =
`(19)/(4)` ( multiply through by 4 to clear the fractions )

- 8x + 14 = 19 ( subtract 14 from both sides )

- 8x = 5 ( divide both sides by - 8 )

x = -
`(5)/(8)`

As a check

- 2 × -
`(5)/(8)` + 3
`(1)/(2)`

=
`(5)/(4)` + 3
`(1)/(2)`

= 1
`(1)/(4)` + 3
`(1)/(2)`

= 4
`(3)/(4)` = right side

Thus x = -
`(5)/(8)` is the solution