Question

Suppose you want to solve the equation 2a+b=2a, where a and b are nonzero real numbers. Complete the explanation to describe the solution to this equation If you subract 2a from each side, you get the statement b= _____________​

Answer 1

Subtracting 2a from both sides of the equation 2a+b=2a, where a and b are nonzero real numbers, simplifies the equation to b=0, indicating that b must be zero.

Step-by-step explanation:

To solve the equation 2a+b=2a, where a and b are nonzero real numbers, we begin by subtracting 2a from both sides of the equation. By doing this, we aim to isolate the variable b on one side of the equation.

After subtracting 2a from both sides, the equation simplifies to b=0. This means that the value of b must be zero for the original equation to hold true. The equation does not depend on the value of a, since a is subtracted from itself and therefore cancels out.

This demonstrates an important principle in algebra: whatever you want to do, just do it to both sides of the equation to maintain the equation's balance.