Question

Check whether the given number is a solution of the equation.
4c + 2 = 2c + 8 if c = 2

Answer 1

By substituting c with 2 into the equation 4c + 2 = 2c + 8 and simplifying, we find that 10 does not equal 16. Therefore, c = 2 is not a solution to the equation.

Step-by-step explanation:

To check whether the given number c = 2 is a solution of the equation 4c + 2 = 2c + 8, we substitute c with 2 and see if the equation is satisfied:

1. Replace c with 2 in the equation: 4(2) + 2 = 2(2) + 8.
2. Calculate each side: 8 + 2 = 16 + 8.
3. Simplify both sides: 10 = 16. This is not true, so c = 2 is not a solution of the equation.