Question

Solve and CHECK the following: 2(a−3)/3=4

Answer 1

a = 9

Explanation:

Given

`(2(a-3))/(3)` = 4 ( multiply both sides by 3 to clear the fraction

2(a - 3) = 12 ( divide both sides by 2 )

a - 3 = 6 ( add 3 to both sides )

a = 9

As a check substitute a = 9 into the left side of the equation and if equal to the right side then it is the solution.

`(2(9-3))/(3)` =
`(2(6))/(3)` =
`(12)/(3)` = 4 = right side

Thus solution is a = 9

Answer 2

2(a - 3). = 4

_______

3

Cross multiply.

2(a- 3) = 12

2a - 6 = 12

2a = 12 + 6

2a = 18

a = 18 ÷ 2

a = 9