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HELP US PLEASE!! Daughter is in Middle School and studing Algebra. Question relates to intergers and using like terms to solve equations??? (and I attended collage- WOW I feel old and under educated) But can't recall basic info needed to solve this one.
Here you go:

10B +19 = 4B - 5

can anyone give answer and possibaly explain for daughter and myself how to colve these types of problems for future reference.

Thanks in advance.

2007-04-20 16:07:25 · 13 answers · asked by truepassion76 2 in Science & Mathematics Mathematics

13 answers

Combine like terms. terms are separated by + and - signs.
The types of terms here are variables (with B) and constants (just numbers - never change value).
Get like term on the same side.
What you do to one side, you do to the other.
Subtract 4B from both sides.
6B + 19 = -5
Subtract 19 from both sides.
6B = -24
Divide by 6
B = -4
Dr. Math is good. and:
http://www.khake.com/page47
The Harper-Collins Paperback Mathematical Dictionary is good help. Amazon or B & N.

2007-04-20 16:18:01 · answer #1 · answered by Anonymous · 2 0

(1) Make sure variable terms, i.e. the B terms, are on one side of the equation and the number terms are on the other. That means...

(a) Subtract 4B from both sides.

10B + 19 - 4B = 4B - 5 - 4B
6B + 19 = -5

(b) Subtract 19 from both sides.

6B + 19 - 19 = -5 - 19
6B = -24

(2) Isolate the variable. This means dividing 6 by both sides

6B/6 = -24/6
B = -4

2007-04-20 16:12:57 · answer #2 · answered by mwebbshs 3 · 1 0

1. put similar variables on one side (subtraction or addition)
- subtract 4B from 10B
- subtract 19 from -5
10B + 19 = 4B - 5
6B = -24
2. then do multiplication or division leaving the variable on
one side and the numbers on the other
- divide 6 from -24
24/6 = 4
3.there is your answer
- B = -4 (because of the negative sign from #2, and until
dividing by another negative, it follows)

i hope this helps
good luck to your daughter and you

2007-04-20 16:55:29 · answer #3 · answered by prettygoddessgirl 2 · 0 0

First group the like terms;
10B + 19 = 4B - 5
In order to do this, subtract the same term from both sides of the equation.
10B - 4B + 19 = 4B - 4B -5
which gives
6B + 19 = -5
then subtract 19 from both sides
6B + 19 - 19 = -5 -19
which gives
6B = -24
now divide both sides of the equation by the cofactor of B
6B/6 = -24/6
which gives
B = -4

2007-04-20 16:16:45 · answer #4 · answered by johnnizanni 3 · 1 0

subtract 4B on each side and that would be 6B+19= - 5. Then subatract 19 from each side. then u get 6B= -24. Then divide each number by 6 and b= - 4. It's that easy.

Answer: b= - 4

2007-04-20 16:13:19 · answer #5 · answered by ~Happiness.should.last.forever.~ 2 · 1 0

10B +19 = 4B - 5
10B + 19 -4B = 4B - 5 -4B
6B + 19 = -5
6B + 19 - 19 = -5 -19
6B = -24
6B / 6 = -24/6
B = --4

That's the very step-step explanation format. Here's usual format.

10B +19 = 4B - 5
10B -4B = - 5 -19
6B = -24
6B = -4

2007-04-20 16:15:06 · answer #6 · answered by QiQi 3 · 1 0

10B+19=4B-5

The key is to get like terms on both side of the equation together.
10B+19-19=4B-5-19
Whatever you do one side of the equation ,you must do on the other side
10B=4B-24
10B-4B=4B-4B-24
6B=-24
Simplify as much as possible
6B/6=-24/6
B=-4

2007-04-20 16:14:02 · answer #7 · answered by Dave aka Spider Monkey 7 · 1 0

Terms from an equation can change sides, changing signs.
Terms "+" at one side, goes to the other side "-"
Terms "-" at one side, goes to the other side "+"
Terms "x" at one side, goes to the other side "/"
Terms "/" at one side, goes to the other side "x"

So:

10B + 19 = 4B - 5 = 10B - 4B = - 5 - 19
6B = - 24
B = - 24 / 6 = -4

2007-04-20 16:20:10 · answer #8 · answered by Anonymous · 1 0

10B +19 = 4B - 5
subtract 4B from each side:
6B+19=-5
subtract 19 from each side:
6B=-24
B= -4

2007-04-20 16:11:54 · answer #9 · answered by jaybee 4 · 1 0

10B+19=4B-5 at this relation we( - )19 and 4B so
10B-4B+19-19=4B-4B-5-19
6B+0=0-24
6B=-24
B=-24/6
B=-4

2007-04-20 16:14:37 · answer #10 · answered by djin 2 · 1 0

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