Question

Please give me the answers to these questions. The questions are in the picture above. If you’re going to give me the answers show your work.
Pls answer them fast, I don’t have so much time.

Answer 1

Answer:

1. D

2. A

3. C

Step-by-step explanation:

1. Given

$6-\dfrac{1}{2}z=\dfrac{2}{3}$

Multiply the equation by 6:

$6\cdot 6-6\cdot \dfrac{1}{2}z=6\cdot\dfrac{2}{3}\\ \\36-3z=4$

Hence,

$-3z=4-36\\ \\-3z=-32\\ \\3z=32\\ \\x=\dfrac{32}{3}$

2. Given

$\dfrac{3y}{2}+\dfrac{ky}{4}=6$

Multiply the equation by 4:

$\dfrac{3y}{2}\cdot 4+\dfrac{ky}{4}\cdot 4=6\cdot 4\\ \\6y+ky=24$

Use distributive property:

$y(6+k)=24\\ \\y=\dfrac{24}{6+k}$

3. Given

$3-(w+2)>4+2w$

Open the brackets using distributive property:

$3-w-2>4+2w\\ \\1-w>4+2w$

Hence,

$1-w>4+2w$