## Sample ACT Question

This question was recently asked in the 2019 ACT exam.

#### See the solution

**Answer: B. 14**

This problem can be solved by a simple substitution of the values x and y into the two algebraic equations.

**Step 1: Substitute Equation 1**

3x

^{2}-2y and x=3, y=5

3(3)

^{2}-2(5) = 17

**Step 2: Substitute Equation 2**

2x

^{2}-3y and x=3, y=5

2(3)

^{2}-3(5) = 3

**Step 3: Subtract Values**

Equation 1 - Equation 2 = ?

17 - 3 = 14

Answer: B. 14