Brandon uses the steps below to solve the equation 15x + 6 = 14x + 5 using algebra tiles.

Step1: Add 14 negative x tiles to both sides

Step2: Add 5 negative unit tiles to both sides

Step3: The solution is x = 1

Which explains whether Brandon is correct?

A) Brandon is correct because he has the correct solution in step 3

B) Brandon is correct because he forms zero pairs to isolate the variable by using the lowest coefficient each time

C) Brandon is not correct because he should have performed step 2 before performing step 1

D) Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2

Question

Mathematics

Keyla Yates

18 October, 12:29

Brandon uses the steps below to solve the equation 15x + 6 = 14x + 5 using algebra tiles.

Step1: Add 14 negative x tiles to both sides

Step2: Add 5 negative unit tiles to both sides

Step3: The solution is x = 1

Which explains whether Brandon is correct?

A) Brandon is correct because he has the correct solution in step 3

B) Brandon is correct because he forms zero pairs to isolate the variable by using the lowest coefficient each time

C) Brandon is not correct because he should have performed step 2 before performing step 1

D) Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2

+3

Answers (1)

Know the Answer?

Everett Love · Answer 1

D. Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2

Step-by-step explanation:

Key goal is to have x on one side while the other value to the right. By subtracting 14x on both sides, you would get x+6=5. You would finally subtract 6 on both sides, not 5, to get the x by itself, thus x=-1.