Question

Solve for the given variable:

∣6c−3∣=21

Answer 1

To solve for c, we need to get rid of the absolute value. We can do this by setting up two equations:

6c - 3 = 21 and -(6c - 3) = 21

Solving the first equation:

6c - 3 = 21
Add 3 to both sides:
6c = 24
Divide both sides by 6:
c = 4

Solving the second equation:

-(6c - 3) = 21
Distribute the negative sign:
-6c + 3 = 21
Subtract 3 from both sides:
-6c = 18
Divide both sides by -6:
c = -3

So the possible solutions for c are c = 4 and c = -3.