Leo solved the equation b = 12 a−1−−−−−−√3 for a, but made an error. His work is shown. Complete the sentences that follow.

Complete question :

Leo solved the equation b = 1/2√3(a-1) for a, but made an error. The correct solution is

(√3 + 2b) / √3

Step-by-step explanation:

Given the equation :

b=1/2√3(a-1)

To solve for a or make the subject of the formula :

Multiply both sides des by 2√3

b * 2√3 = 1/2√3(a -1) * 2√3

(2√3)b = a - 1

Add 1 to both sides

(2√3)b + 1 = a - 1 + 1

(2√3)b + 1 = a

Hence,

a = 1 + 2b /√3

Taking the L.C.M of 1/and √3

a = (√3 + 2b) / √3

answer: 12

step-by-step explanation: