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24 votes
24 votes
PLEASE HELP

1= a-13/-6

Show your work in details if you can, I have a hard time understanding this.

PLEASE HELP 1= a-13/-6 Show your work in details if you can, I have a hard time understanding-example-1
User Notlikethat
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2 Answers

9 votes
9 votes

Hey there! I'm happy to help!

We want to get the a all by itself. For me, I always like to have the variable on the left side, so first, let's just flip this around.


(a-13)/(-6) =1

What we want to do is get all of the constants (numbers without variables) on the right side. This will leave a all on its own.

We see that the quantity a-13 is being divided by -6. To undo this, we will just multiply both sides by -6. This will cancel out that -6 and get us closer to having the a isolated.


(a-13)/(-6) *-6=1*-6\\(a-13)/(1)=-6\\a-13=-6

Now we add 13 to both sides to undo the -13 on the left side.


a-13+13=-6+13


a+0=7\\a=7

Have a wonderful day and keep on learning! :D

User Tsuneo Yoshioka
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2.8k points
15 votes
15 votes

Answer: 7

Explanation:

1. multiply both sides by -6 so the -6 on the right side could cancel out and the left side would be -6: 1= a-13/-6 ==> -6=a-13

2. add both sides by 13 so -13 on the right side could cancel out and the left side would be -6+13: -6=a-13 ==> -6+13=a-13+13

3. you know -6+13 equals 7 right? so the answer is a=7

User Keywind
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2.8k points