### Home > A2C > Chapter 9 > Lesson 9.1.1 > Problem9-19

9-19.

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.

Try substituting $\left(0, 0\right)$ into both equations.