Question

You are given the equation 13 = 2x + 5 with no solution set.

Part A: Determine two values that make the equation false.

Part B: Explain why your integer solutions are false. Show all work.

Answer 1

Part A: x = 1, 2

Part B: 13 != 7, 13 != 9

Explanation:

We pick x values that when plugged into the equation, creates a false statement.

x = 1

13 = 2(1) + 5

13 = 2 + 5

13 = 7

As you can see 13 does not equal 7

x = 2

13 = 2(2) + 5

13 = 4 + 5

13 = 9

As you can see 13 does not equal 9