Question

I can't figure out how to solve these four, I know the answers but don't know the steps. Thanks
2x-3/4 +5=3x
(t+5)/8 - (t-2)/2= 1/3
(x-5)/4 + (3-2x)/3 > -1
2y-3/2 + 3y-1/5 < y-1

Answer 1

Please show your best efforts on the first one.

Answer 2

Do you mean:
\(\dfrac{2x-3}{4} + 5 = 3x\) or \(2x-\dfrac{3}{4}+5=3x\)?

Answer 3

The first one u typed
, but I solve the first one I figured it out, I just need help one the last three. Do I tried cross multiplying but I don't get the right answer.

Answer 4

I think you multiply by the common denominator

Answer 5

\(\dfrac{t+5}{8} - \dfrac{t-2}{2}= \dfrac{1}{3}\)
You can only cross multiply if there is one term on each side.
In this case, you can combine the terms on the left side to make one fraction and then cross multiply.

Answer 6

Or you can multiply through the entire equation by a common denominator.

Answer 7

So the common denominator would be 24 for all three?

Answer 8

yes.

Answer 9

So I should get 3t-5/24 - 12t-24/24 = 8/24

Answer 10

The point of multiplying by the common denominator is to eliminate the fractions.
I'll demonstrate on the first term.

Answer 11

\(\dfrac{\cancel{24}(3)}{1} \times \dfrac{t-5}{\cancel{8}} = 3t+5\)

Answer 12

oh ok so it will be 3t+5-12t-24=8 and solve

Answer 13

Remember to distribute the negative in the second term.

Answer 14

Thank you so much! I got 31/9. And for the other two I just do the same?

Answer 15

Close. Did you actually get 31/9 or did you mistype?

Answer 16

Yeah I mistyped, but I got that. thank you!

Answer 17

Good job! And yes, the other questions will be done the same way.

Answer 18

I have a question.....after you multiply by 24, do you get 3(t + 5) or just 3t + 5

Answer 19

@$%&^!
Your right, I forgot to distribute.

Answer 20

I wasn't sure......thats why I asked

Answer 21

thanks for explaining it

Answer 22

@rrrgirls1 did get it right though.