### Home > AC > Chapter 9 > Lesson 9.2.1 > Problem 9-30

Solve the problem below by writing and solving one or two equations. A Guess and Check table may help you get started. Be sure to define your variable(s) and write your solution as a sentence.

Rowan received

Define your variables.

Write a set of equations representing the problem.

Solve the second equation for *y*.

Substitute 33 − *x* in for *y*.

Solve for *x*.

Substitute 19 into one of the original equations for *x*.

Solve for *y*.

*x* = # of correct answers on Part 1 *y*= # of correct answers on Part 2

*x* + *y* = 33

3*x* + 2*y* = 85

*y* = 33 − *x*

3*x* + 2(33 − *x*) = 85

3*x* + 66 − 2*x* = 85

*x* = 19

19 + *y* = 33

*y* = 14