Question

What’s the answer for this question

Answer 1

a = 40

Explanation:

given the equation

`(3)/(4)` (2a - 6) +
`(1)/(2)` =
`(2)/(5)` (3a + 20)

multiply through by 20 ( the LCM of 4, 2, 5 ) to clear the fractions

20 ×
`(3)/(4)` (2a - 6) + 20 ×
`(1)/(2)` = 20 ×
`(2)/(5)` (3a + 20) ← simplify

15(2a - 6) + 10 = 8(3a + 20) ← distribute parenthesis

30a - 90 + 10 = 24a + 160 ( simplify left side )

30a - 80 = 24a + 160 ( subtract 24a from both sides )

6a - 80 = 160 ( add 80 to both sides )

6a = 240 ( divide both sides by 6 )

a = 40