### Home > CCA2 > Chapter 8 > Lesson 8.1.1 > Problem8-18

8-18.

Samantha thinks that the equation $\left(x − 4\right)^{2} + \left(y − 3\right)^{2} = 25$ is equivalent to the equation $\left(x − 4\right) + \left(y − 3\right) = 5$. Is she correct? Are the two equations equivalent? Explain how you know. If they are not equivalent, explain Samantha's mistake.

Solve to find a point that makes the second equation true. Does it also make the first equation true?

Look at the graphs of each equation. Are they the same?