Question

AB - BC

3x - 31
А
Find x:
O 22
0 -25
O 16
0 43
None of the other answers are correct

Answer 1

43

Explanation:

`AB = x + 6`

`AC = 3x - 31`

Since AB = BC, therefore,
`BC = (1)/(2)3x - 31`.

Thus,

`x + 6 = (1)/(2)3x - 31`

Solve for x

`2(x + 6) = ((1)/(2)3x - 31)2` (multiplying both sides by 2)

`2x + 12 = 3x - 31`

Collect like terms

`2x - 3x = - 12 - 31`

`-x = -43`

Divide both sides by -1

`x = 43`