### Home > CAAC > Chapter 6 > Lesson 6.2.4 > Problem 6-74

6-74.

Hypothesis:

Conclusion: (6, −1) is a solution

Check to see if the conclusion is true by plugging in the points into the original equation.

Add 2 tiles to Figure 2 to find figure three. Repeat the process to find Figure 4.

Does the number of tiles you found for Figure 4 match the number that the problem says there should be?

Hypothesis: (3*x* + 1)(*x* − 2) = 4

Conclusion: 3*x*^{2} − 5*x* − 2 = 4

Check by making a generic rectangle.

Does (3*x* + 1)(*x* − 2) = 3*x*^{2} − 5*x* − 2?