Question

Solving 2+2x=3+2x can provide justification that the equation does not have a solution. Investigate this equation using a graph and inverse operations.

Answer 1

Explanation:

The main goal is to separate the values on opposite sides of the equal sign.

2 + 2x = 3 + 2x

-2 -2 ⬅Subtract 2 from both expressions

2x = 1 + 2x

-2x - 2x ⬅Subtract 2x from both sides.

0 = 1

Answer:

0 does not equal 1, which means that this equation is inconsistent. In other words, there is no solution. 0 does not equal 1, so 2 + 2x does not equal 3 + 2x.

I hope this helps! :)