Question

Suppose you want to solve the equation 2a + b = 2a, where a and b are nonzero real

numbers. Describe the solution to this equation. Justify your description.

Answer 1

2a + b = 2a
Collect like terms
b = 2a - 2a = 0
therefore, b = 0.
Since a and b have non zero values, all values will be true when the condition of b = 0 is satisfy.
For instance, if the value of a = 5, then we will have
2{5} + b = 2{5}
10 + b = 10
b = 10 - 10 = 0.