5.4k views
2 votes
Could someone help me with this problem? I’m stuck on it! Thank you so much! It’s number 4

The answer choices are:
-24/5
-10/3
-5/24
-8

Have a BLESSED DAY! Jesus loves you!

Could someone help me with this problem? I’m stuck on it! Thank you so much! It’s-example-1

2 Answers

2 votes
I got the answer -24/5. My work is below. Each new line is a step. I hope this helped. God bless!

-2/3x = 1/6x + 4
-2/3x - 1/6x = 1/6x - 1/6x + 4
-5/6x = 4
-5/6x / -5/6 = 4 / -5/6
x = -24/5

4/1 x -6/5 = -24/5
User Tim Dean
by
5.7k points
4 votes
You will want to start by making your fractions have the same denominator. To do this, multiply the 2/3 by 2/2, to make it 4/6. Now we have this equation:

-4/6x = 1/6x + 4

Next, subtract 1/6x from both sides:

-5/6x = 4

Finally, multiply both sides by -6/5, and you get your answer:

x = -4.8
User Eric MC
by
5.8k points