posted by .

This problem has been very hard for me. I would appreciate it if someone could maybe help..

Solve: 2a - b = ac + 3b for a

I came up with a = c + 4b but I really don't know..

  • Algebra -

    2a - b = ac + 3b
    to get a, first we need to transpose all terms containing a to one side of equation, and all other terms to the other side,, in this case the terms containing a are 2a and ac. let's just transpose them to the left side of equation,,
    since ac is on the right and we wish to transpose it to the left side, we change its sign from positive to negative:
    2a - b = ac + 3b
    2a - b - ac = 3b
    we do the same for -b. -b becomes +b if transposed to other side:
    2a - ac = 3b + b
    now we factor a from 2a - ac:
    a(2 - c) = 3b + b
    also, we can combine 3b and b:
    a(2-c) = 4b
    now to get a alone, we divide both side of equation by (2-c):
    a(2-c)/(2-c) = 4b/(2-c)
    a = 4b/(2-c)

    hope this helps~ :)

  • Algebra -

    Oh, wow, this does help! Fast response and detailed explanation.

    Thank you so much, appreciate it.
    Have a good one!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    how would you solve for y in this problem: x=(y^2+3y)^(1/3) would it equal: y= x^3/y - 3 ?
  2. Algebra 2

    I would really appreciate it someone helped me with this information. 1. Solve the inequality: |3 - 3x/4| >= 9 Solve for x 2.(x - 2)(x + 1) = 4 and factor completely 64 + a^3
  3. algebra 2

    i need help with my algebra 2 homework, the section is called using matrices to represent data. here is one of the problems: -1/2A+(B-A) A=[7 3 -1 5] [-2 8 0 -4] and B= [6 0 11 -3] [-5 2 -8 9] i don't know how to do this problem and …
  4. Basic Algebra

    I am having a hard time trying to figure out this problem, if someone could help me...I'd appreciate it: I have to solve the problem 7x-(6x+4)=4
  5. Algebra 2

    Solve and Graph: ( i know that second part would be difficult but can you possibly explain it more) -3©¦x+4©¦-5 ¡Ý 10 Please explain. I would really appreciate it. I'm not in school, i'm homebound and mom will not allow me to …
  6. math

    Can someone please show me step by step how to solve this, I've been stuck. Find the common ration r of the geometric series an that satisfies the following conditions: c=4, S=16 I would reallyy appreciate it if someone could help …
  7. algebra

    Solve the system using elimination X+3y=5 4x+4y=4 I tried to work this problem and this is what I came up with. x+3y=5 x+4y=20 7y=15 y=7/15 and x= (5+y)/4 (5+7/15)/2 2/15 x=2/15 x=2/15, y=7/15 I would like for someone to check to see …
  8. Algebra 1

    Can someone simply tell me what methods I must use in order to solve this word problem?
  9. Algebra 1

    Can someone simply tell me what methods I must use in order to solve this word problem?
  10. Math

    Hey! So, I've been working on this problem for awhile but I'm currently a bit dumbfounded on how to solve it. I think this question has been answered before but I still don't quite understand how it works or how to explain it. The …

More Similar Questions