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

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3