Question

Homework Section 2 Topic 2Question 2 of 4Himari is solving the equation 4 (x – 3) = 16. Her first step is 42 – 12 = 16.Which step could be the next step? Select all that apply.42 - 12 + 12 = 16 + 124x – 12 – (-12) = 16 – (-12)161 (4x – 12) = 16. (5)45 – 12 = 14. (4. – 12) = 16.4

Answer 1

We are given an equation;

`4(x-3)=16`

From the question, it was said that her first step taken is;

To expand. we have;

`4x-12=16`

Then her second step could be;

1. To add 12 to both sides.then we have;

`4x-12+12=16+12`

2. To subtract -12 from both sides. then we have;

`4x-12-(-12)=16-(-12)`

Both 1 and 2 are to eliminate the unlike term which is -12 from the right side of the equation.

3. Lastly, in a rare case we can first divide both sides by 4 or multiply both sides by 1/4, to reduce 4x to x. So we have;

`\begin{gathered} (1)/(4).(4x+12)=16.(1)/(4) \\ To\text{ have;} \\ x+3=4 \end{gathered}`

Therefore, 1,2 and 3 are correct