### Home > CAAC > Chapter 6 > Lesson 6.2.1 > Problem 6-40

6-40.

Kevin and his little sister, Katy, are trying to solve the system of equations shown below. Kevin thinks the new equation should be 3(6*x* − 1) + 2*y* = 43, while Katy thinks it should be 3*x* + 2(6*x* − 1) = 43. Who is correct and why? Homework Help ✎

*y* = 6*x* − 1

3*x* + 2*y* = 43

In order to solve the system of equations 6*x* − 1 must be substituted in for *y*.

3*x* + 2(6*x* − 1) = 43

Katy is right.