Question

Callie solved this one-variable equation. When she was done, she tried to verify her answer, but found that it was wrong. Can you find her mistake? 1 2 (4k + 8) = 10 1. 2k + 16 = 10 2. 2k = −6 3. k = −3

Answer 1

Answer:

Mistake found in step 1

Step-by-step explanation:

Callie solved this one-variable equation. When she was done, she tried to verify her answer, but found that it was wrong.

$2(4k + 8) = 10$

Step 1: $2k + 16 = 10$

Step 2: $2k = -6$

Step 3:$k = -3$

In step 2, 2 is distributed inside the parenthesis

$2(4k + 8) = 10$

When 2 is multiplied inside the parenthesis, the equation becomes

$8k + 16 = 10$

She forgot to multiply 2 with 4k

So the mistake is in step 1

Answer 2

2(4k+8)=10
8k+16=10 (she said 2k instead of 8k)

To continue solving, subtract 16 from both sides. That would give you 8k= -6. Then divide both sides by 8, and get -6/8 which equals -3/4.