Question

Suppose you want to solve the equation 2a + 2b= 2a, where a and b are nonzero real numbers. Describe the solution to this equation. Justify your description

Answer 1

This equation has no solution where 'a' and 'b'
are both non-zero real numbers.

You said                                 2a + 2b = 2a

Subtract 2a from each side:         2b = 0

'b' must be zero.

And it doesn't matter what the value of 'a' is.
As long as b=0, 'a' can be any number.