in-13-22-solve-each-equation-or-inequality-each-solution-is-an-integer-7-2-a3-a32

Question

In $13-22,$ solve each equation or inequality. Each solution is an integer. 
$$
7-2 a=3 a+32
$$

Aditya Sood · Accepted Answer

soft each equation or inequality. Each solution is an integer. So this is an equation. And like any other equation when solving for a we want to isolate the variable on one side. So our first step is going to be to subtract three a from both sides so we can bring all the age to the left hand side. So when we do this, we get, uh, we get seven minus five. A is equal to 32. Our next step is going to be subtract seven from both sides. So we get negative. Five way is equal to 32 minutes seven, which is 25. Lastly, we wanted to fight divided by negative five to get rid of the coefficient of a and so we get a is equal to negative five.

Aditya Sood · Answer

solve each in quality or equation. Each solution isn&#x27;t integer seven X plus five is equal to four X plus 23. We wantto isolate the variable X, and our first step in doing so will be to subtract five from both sides. So we get seven. X is equal to four X plus 18. Now to get all the exes on the left hand side we want is a crack for X from both sides. So we get three exes, you go to 18. Our last step is to get rid of the coefficient of X, and we can do so by dividing it by three by dividing by three, we get three X over three and in this case that threes We&#x27;ll just cancel out and we get is equal to 18 over three. So we get access equal to 18 over three or X is equal to six

Joshua Utley · Answer

All right, We&#x27;re asked to solve this equation. This inequality for ex Excuse me. And so what I&#x27;m going to do and it looks like, accidentally I made a slight type of when writing this down. This should just be minus three here. You should not be an X there. Excuse me. All right. So the way I choose to do this is I would add two x thio each side. I was gonna leave you in minus three, greater than or equal to 12 plus three acts, and then he&#x27;s attract 12 over. So you&#x27;re gonna have minus three and minus 12 is minus 15 greater than or equal to three X, and then you&#x27;ll have X less than argue books it right here. And my five. Yeah.

Aditya Sood · Answer

Hello. Everybody solve each equation or inequality. Each solution is an integer. So, uh, this isn&#x27;t inequality right over here, and it is to X for three is less than extra 15. So our first step is going to be to isolate the variables, to bring them all to the left hand side, are to a side in this case, is going to the left hand side and to eventually get it by itself on that side. So we want to subtract by ex both as the ex. So we get expert three is less than 15. Now, to get X myself on the left hand side, you want subtract both sides by three. So you get X is less than 12. Since this is inequality, the solutions to this inequality are all integers less than 12. And so a way of expressing this would be right here. This is the domain of X, And so ah, fancy What is essentially just a fancy way of writing that, uh, all values from negative infinity to 12 are solutions to this inequality. And one thing to notice is this right? Here it is a apprentices, which means that 12 itself is not included. So, uh, it&#x27;s from negative Infinity to 12 not including 12

Aditya Sood · Answer

Hello, everybody. Today we&#x27;re going to be solving this equation and each solution as an integer. So our equation is B minus one minus three. Minus four is equal to be. So our first step is going to be to distribute out the negative sign so that this equation is equal to B minus one minus three B plus four is equal to be, uh, Now we just want to combine like terms on the left hand side. So we get, uh, be an A B minus. Tree B is all right. We&#x27;ll be ministry be gives us negative to be and then negative one plus for gives us three. So we get negative to be plus three is equal to me. Ah, Now we want to bring it to be over to the right answer so that we could get all the variable terms on to one side. So we get three b is equal to three, divide both sides by three to get B is equal to one, and that is our solution.

Aditya Sood · Answer

Hello, everybody. Today we&#x27;re going to be solving this inequality and each solution is an integer so Oh, our inequality is nine plus two is less than or equal to seven way. So our first step is going to bring all the very both on the left hand side. So we want to subtract both sides by seven way. So we get to why plus two is less than or equal to zero. Uh, to get only the very well on the left hand side, we want subtract votes, that&#x27;s my neck by positive too. So we get to why is less than or equal to negative too. Lastly, to get wide by itself, we want to divide both sides by two. So we get why is less than or equal to a negative one. And since this is an inequality, we are going to be writing it as a domain. So this, uh, notation here means that the all values from negative infinity to negative one our solutions to this inequality and the next thing to notice it&#x27;s important is that, uh, this right over here, this is a square bracket, which just means that the negative one itself is also a solution to this inequality. So any negative one is included within the solution set

Problem

In $13-22,$ solve each equation or inequality. Ea…

Problem 15 Easy Difficulty

In $13-22,$ solve each equation or inequality. Each solution is an integer.
$$
7-2 a=3 a+32
$$

Answer

$a=-5$

Related Courses

Algebra 2 and Trigonometry

Related Topics

Discussion

Top Algebra Educators

Grace H.

Catherine R.

Heather Z.

Kayleah T.

Algebra Courses

Absolute Value - Example 1

Absolute Value - Example 2

Recommended Videos

Watch More Solved Questions in Chapter 1

Video Transcript

Ann Xavier Gantert

Algebra 2 and Trigonometry

Grace H.

Catherine R.

Heather Z.

Kayleah T.

Absolute Value - Example 1

Absolute Value - Example 2

Additional Mathematics Questions

What do you need help with?

Textbooks

Ask a question

Courses

AI Tutor

$a=-5$

Algebra 2 and Trigonometry

Grace H.

Catherine R.

Heather Z.

Kayleah T.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Grace H.

Catherine R.

Heather Z.

Kayleah T.

Ann Xavier Gantert

Algebra 2 and Trigonometry