Question

4/5b-2=-9/10b+3 Solve Linear Equation and formula. I BEEN STRUGGLING PLEASE HELP

Answer 1

Have you considered multiplying by 10 to make your life simpler?

Answer 2

Multiply EVERYTHING by 10. Please feel free to respond on the public boards.

Answer 3

40/50b-20=-90/100b-30 Like that?

Answer 4

?? No, correctly.

Practice: 8*(1/2) = ??

Answer 5

4

Answer 6

Why did you not get 1/2? That's what you did to the equations!

8(1/2) = \(\dfrac{8}{1}\cdot\dfrac{1}{2} = \dfrac{8*1}{1*2} = \dfrac{8}{2} = 4\)

Go try that "multiply by 10" again. This time, don't you dare let 10 get into anyone's denominator.

Answer 7

\[\frac{ 4 }{ 5 }b-2=-\frac{ 9 }{ 10 }b+3\]

Answer 8

Do i multiply the two like terms?

Answer 9

Why are you not just multiplying by 10?

\(10\cdot\dfrac{4}{5} = 8\) You do the rest.

Answer 10

8b-2=-9b+3

Answer 11

b=1 RIGHT?

Answer 12

hellooooo

Answer 13

Is anyone here

Answer 14

Try again. Remember your Distributive Property.

\(10\cdot\left(\dfrac{4}{5}b - 2\right) = 10\cdot\dfrac{4}{5}b - 10\cdot2\)

We ARE getting closer.

Answer 15

8b-20

Answer 16

Super. Now the other side.

Answer 17

-9b+30

Answer 18

8b - 20 = -9b + 30

It is hoped that this is an easier problem to solve than the one with which we started. No?

Answer 19

yes

Answer 20

now what do i do. do i subtract -9 on both sides

Answer 21

This method, the removal of fractions, CAN be very useful. You should NOT begin to believe that you should do it all the time. Just keep it in your head as something you MIGHT do if it appears to be to your advantage.

Answer 22

will the answer be -17/50

Answer 23

Question:how do you know that you were suppost to multiply by 10

Answer 24

There is no -9 to subtract. The term is -9b.

Not quite. Try adding 9b to both sides, again and adding 20 to both sides again.

Answer 25

i get 17 and 50

Answer 26

17b-50

Answer 27

8b - 20 = -9b + 30

Add 8b to both sides

8b - 20 + 9b = -9b + 30 + 9b
8b + 9b - 20 = -9b + 9b + 30
17b - 20 = 0b + 30
17b - 20 = 30

Add 20 to both sides

17b - 20 + 20 = 30 + 20
17b - 0 = 50
17b = 50

Divide by 17

17b/17 = 50/17
(17/17)b = 50/17
1b = 50/17
b = 50/17

For some odd reason, you gathered everything to one side and then discarded the equal sign. Don't do that. If you find your equal sign missing, something went horribly wrong.

How do you add these? \(\dfrac{1}{5} + \dfrac{1}{2} + \dfrac{1}{10}\)?