Question

Solve for a.

1/3 (21 - 3a) = 6 - a

all real numbers
0
-1
no solution

Answer 1

No solution

Explanation:

`\sf (1)/(3)(21 -3a) = 6 - a`

In order to solve for a in the equation 1, we can follow these steps:

`\sf (1)/(3)(21 -3a) = 6 - a`

Multiply both sides of the equation by 3.

`\sf (1)/(3)(21 -3a) * 3= 3(6 - a)`

Simplify the left side and distribute 3 on right side.

`21 - 3a = 18 - 3a`

Cancel out the -3a term on both sides of the equation.

21 - 3a - (-3a) = 18 - 3a - (-3a)

21 = 18

Since 21 is not equal to 18, there is no solution to the equation.

Therefore, the answer is no solution.