Simple Math Equations?

Question

We're doing a quick little review sheet for homework tonight. The things is, I learned this so loong ago that it has all dissapeared from my mind. I can not figure out these equations and it's driving me crazy!

-15=3/4x

8(2x-3)=4(4x-8)

2/3x + 1/4x = 22

2/3x-1/4x=22

As you can see, most of them have fractions which just adds more confusion. Can someone please help me walk through these syep by step? Thanks.

Answer 1

For the first one, I'd multiply both sides of the equation by 4 to get rid of the fractions:

-60=3x

Now divide both sides by 3 to get x by itself:

-20=x

For the second one, you have to distribute the term outside of parentheses to each term inside:

16x-24=16x-32

Subtract 16x from both sides

-24=-32.

No solution exists for this equation (there is no value of x that will ever make it true)

For the third:

First multiply every term by 3 to get rid of the first fraction:

2x+3/4x=66

Now multiply every term by 4 to get rid of the second fraction:

8x+3x=264

11x=264

x=24

For the fourth:

First multiply every term by 3 to get rid of the first fraction:

2x-3/4x=66

Now multiply every term by 4 to get rid of the second fraction

8x-3x=264

5x=264

x=264/5 or 52 4/5

_/

Answer 2

-15=3/4x

ok

first you have to get x alone

since its a fraction. you want to make it 1. so

multiply its reciprocal which is 4/3

remember..what you do on one side..you have to do to the other

so you get

4/3(-15)= x

simplify and you get -60/3 which is -20=x

8(2x-3) = 4(4x-8)

you have to distribute

16x -24=16x-32

8=0x meaning no solution

2/3x + 1/4x=22

you have to make a common denominator

i think 12 would be the "least common denominator"

so..8/12x + 3/12x=22

1x=22

x=22

2/3x -1/4x = 22

8/12 -3/12x=22

5/12x= 22

then you have to get x alone so you would multiply by 12/5 on both sides to get x=264/5

hope i helped =D