A community for students.
Here's the question you clicked on:
 0 viewing
NY,NY
 2 years ago
HELPPP ME STUDY! solve algebraically for a and b and check:
3a+5b=4
4a+3b=2
NY,NY
 2 years ago
HELPPP ME STUDY! solve algebraically for a and b and check: 3a+5b=4 4a+3b=2

This Question is Closed

goformit100
 2 years ago
Best ResponseYou've already chosen the best response.0You can use Matrix method for solving these two equations simultaneously

NY,NY
 2 years ago
Best ResponseYou've already chosen the best response.1i only know substitution, graphing, and elimination method and those are the only methods i can use.

darkprince14
 2 years ago
Best ResponseYou've already chosen the best response.0try eliminating either a or b

darkprince14
 2 years ago
Best ResponseYou've already chosen the best response.0If you're looking for the point of intersection or the solution to those two then that's helpful if not, sorry, i have no clue what to do next ..

NY,NY
 2 years ago
Best ResponseYou've already chosen the best response.1i need to find the value of a and b, not find the solution. like get a or b by itself.

darkprince14
 2 years ago
Best ResponseYou've already chosen the best response.0how about let a = 0 or something like that...

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Here's the plan; try to "get a in terms of b" (or "b in terms of a"). Really, I mean try to solve for a, so that it equals something that involves b (or solve for b so that it equals something that involves a).

NY,NY
 2 years ago
Best ResponseYou've already chosen the best response.1yeah, i know. but how do i do that?

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1You can look at either equation, and solve for either variable. It's up to you!

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1It's all fair game in this problem. So pick and equation and pick a variable to solve for!

NY,NY
 2 years ago
Best ResponseYou've already chosen the best response.1ok, 3a+5b=4. let's solve for a.

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Okay, you start! I'll watch.

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Unless you want to workon it together now; we can do that.

NY,NY
 2 years ago
Best ResponseYou've already chosen the best response.1yeah, let's work on it together.

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Alright. When equations aren't too complex, a great starting point is getting the terms containing variable you're solving for, a, on the opposite side of all the other terms. So look at 3a+5b=4. Which term (containing a) do we want to it's own side?

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1I agree! And it's with 5b, which we need to get rid of. And it appears you know how to do that! Good! So now a is still stuck with something; it's being multiplied by 3! So can you fix that, too?

NY,NY
 2 years ago
Best ResponseYou've already chosen the best response.1\[a= \frac{ 5b+4 }{ 3 }\]

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1close! You forgot your sign of 5b! You had it right before! I'm guessing you were distracted by Open Study's fancy equation thing, but I don't know.

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1\[a=\frac{5b+4}{3}\]Haha, that's fine! So we solved for a in that one equation, 3a+5b=4. a is always a is always (5b+4)/3. So we can substitute it into another a's place. Try it in the other equation, 4a+3b=2. the a will be replaced and the only variable in the equation will be b. The we can solve for b!

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1So, start by substitution!

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Make sure you type (20b+16)/3 + 3b = 2 ! I see you factored correctly, but the way you wrote it it didn't look like it was all divided by 3, though it really was! :)

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1So\[\frac{20b+16}{3}+3b = 2\]

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Just so that leftmost b isn't divided by it.

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1So\[3(\frac{20b+16}{3}+3b)=3(2)\]

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Common mistake! Don't worry! You just have to remember to multiply each entire side by 3. That way you're doing the same thing to each side, so that the two new sides will still be equal.

NY,NY
 2 years ago
Best ResponseYou've already chosen the best response.1i multiplied by 3 to 20b + 16 so that canceled the 3 out, and then i multiplied the 2 by 3, giving 6. what i do wrong?

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1You have to multiply 3b by 3 as well!

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1I'm sure you'll see it soon.

theEric
 2 years ago
Best ResponseYou've already chosen the best response.120b+16+9b=6 20b+9b=22 11b=22 22=11b 22/11=b 2=b Yeah!

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1I had to work it out to check, but we got the same thing.

NY,NY
 2 years ago
Best ResponseYou've already chosen the best response.1yay :D thanks eric :D yur awesome :D

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Sorry for the wait, Open Study glitched :P Recap, we solved for "a in terms of b" and we solved for b. Now we know b and can now solve for a!

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1My pleasure! Thank you for doing your part! You did great!

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1\[a=\frac{5b+4}{3}=\frac{5(2)+4}{3}\] and compute... finale!

NY,NY
 2 years ago
Best ResponseYou've already chosen the best response.1i just hope i do good on the quiz tomorrow...

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1My pleasure. Did you get a = 2?

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Best of luck! Tag me in any other questions you have, or you can ask them here. But the most important thing in these an dmany other math problems is planning! Knowing what you will do. This technique we used is good for this situation.

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Haha!! Caught me! 2 ! :D

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1Serves me right for trying to do it in my head.

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1My responses are out of order. Open Stud is scrambled, it seems.

NY,NY
 2 years ago
Best ResponseYou've already chosen the best response.1yeah. open study is being really laggy today. if i can just finish up my science homework, ill bring up some more questions to study with. thanks again :D and bye for now.

theEric
 2 years ago
Best ResponseYou've already chosen the best response.1I'm glad it's not just me! No problem. Good luck with everything!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.