EASY EASY 10 pts.????????????????//?

Question

easy problems see if you can solve them step by step/ its distributive property/ o please show and tell me how to do it i cant remember and im no goood/ plz step by step

8x + 15 = -4x + 51

2/5x + 7 = 13

15( 1-x) = -3 (-x - 2)

1/3 (14x + 9) = 11 - 5 (x-3)

Answer 1

first, if there is a denominator, multiply both sides of the equation so that there isn't any denominators (this is done for easier calculations and is not actually necessary). Then remove the brackets (if there are any). Then rearrange the equation so that the unknowns are on the one side and the numbers on the other. Don't forget that if you change the side of a number, it changes its sign too, so a + becomes - and vice versa. Then do the calculations. That's it :)

8x + 15 = -4x + 51 no denominator and no brackets, so we rearrange the equation now:

8x + 4x = 51 -15 now take x out of brackets and do the subtraction on the right:

(8+4) x = 36

12 x= 36 now divide both sides by 12, so that you get only x on the left

x=36:12

x=3

2/5 x+7 = 13 multiply by 5

2x +35=65 no brackets, rearrange

2x=65 - 35

2x=30 divide

x=30:2

x=15

15(1-x) = -3(-x-2) no denominators, remove the brackets

remember that positive*positive=positive, negative*positive=negative and negative*negative=positive (* means multiplication)

15 - 15x = 3x+6 rearrange

-15x -3x=6-15

-18x = -9 divide by (-18)

x=-9/ (-18)

x=1/2

1/3(14x+9)=11 - 5(x-3) multiply by 3

14x + 9 = 33 -15 (x-3) remove brackets

14x + 9 = 33 - 15x +45 rearrange

14x +15x = 33+45+9

29x = 87 divide

x=87/29

x=3

Hope that helps :)

Answer 2

8x+15=-4x+51     x=3

1 add -4x to ur 8x so you have all your variables together and 12x

12x+15=51

subtract 15 from 51 to get 36

12x=36

now get x by itself by dividing by 12 on both sides

12x=36

------------

12     12

x=3

you know its right because 8x3=24 and 24+15=39 and -4x3=-12+51=39

2/5x+7=13

first subtract 7 from both sides to get your like terms together

2/5x=8

now turn your 2/5 into a decimal so you can divide 8 by the answer

to turn 2/5 into a decimal just divide 2 by 5=.4 now you have

.4x=8

now divide both sides by .4 to get x by itself and find what it equals

8/.4=20 so x=20 you can also check this one the same as the other one by pluging in the value of x to the problem

15(1-x)=-3(-x-2)

for this one you first need to get rid of the perenthesies by distributing the number outside the perenthesies to the numbers inside

15X1=15 & 15X-x=-15x so your problem is now:

15-15x=-3(-x-2)

now distribute the left side -3X-x=3x -3X-2=6 now your problem is     15-15x=3x+6 so now your problem is no different than the 1st 2

put your like terms together by adding adding 15x to both sides

15=18x+6

now subtract 6 from both sides

9=18x and divide both sides by 18 to get an answer of x=.5 you can check this one like the others too.

and this last one i honestly dont remember how to do the ones with fractions i know you can like turn the fraction into a decimal and do it that way but thats a lil complicated and i know theres a way you can multiply both sides by the denominater but i dont remember how to do it exactly and i tried it a cpl times on paper and messed it up but i did the rest for u  

Answer 3

How to:

1. 8x + 15 = -4x + 51

Combine the Xs by adding 4x to 8x.

12x + 15 = 51

Now combine the regular numbers by subtracting 15 from 51.

12x = 36

To solve for x, divide 12.

x = 3

2. 2/5x + 7 = 13

Combine regular numbers by subtracting 7 from 13.

2/5x = 6

To solve for x, you need to divide 2/5 from 6. B/c it's a fraction, you multiply it by its reciprocal, which is 5/2.

So,

x = 6 * 5/2

Therefor,

x = 30/2

x = 15

3. 15(1 - x) = -3(-x - 2)

Distribute the 15 and the 3. So you multiply it through.

15 - 15x = 3x + 6

Combine Xs by taking -15x and adding it to 3x.

15 = 18x + 6

Combine the regular numbers by subtracting 6 from 15.

9 = 18x

Solve for x by dividing 18 by 9.

x = 9/18

x = 1/2

4. 1/3(14x + 9) = 11 - 5(x-3)

Distribute 1/3 and -5

1/42x + 1/9 = 11 -5x + 15

Combine the like numbers on the right side.

1/42x + 1/9 = 26 -5x

Get the common ones on either side by subtracting 1/9 and adding -5x.

1/42x + 5x + 26 - 1/9

Now I'm not sure what level of math this is, or how your teacher likes you to solve it, so do it that way from here on.

Answer 4

8x + 15 = -4x + 51 Move 15 by subtracting 15 from 51

8x = -4x + 36 Now move -4x by subtracting it from 8x

4x=36 now divide.

x=9

2/5x + 7 = 13 Subtract 7

2/5x = 6 Now get rid of 2/5 by dividing it by 6

x = 15

Yeah It's like the same for the others I guess

Answer 5

I'll show you how to answer one, but not solve your homework. You won't learn anything, and you won't have Yahoo!answers when the test comes around.

4x + 30 = -1x + 20

1) match your like units, for instance, add 1x to the left and right side of the = sign

     4x + 1x + 30 = -1x + 1x + 20

     5x + 30 = 20

  

2) then repeat, subtract 30 from each side

     5x + 30 - 30 = 20 - 30

     5x = -10

3) now, to isolate the x, you would divide each side by 5

      5x/5 = -10/5

      x = -2

4) check your work:

    4(-2) + 30 = -1(-2) + 20

    -8 + 30 = 2 + 20

     22 = 22

Now, get of Yahoo and do your homework!

      

  

Answer 6

if you don't make your homework by yourself you'll never learn!! Anyway i'll try to explain to you one equation u.u:

8x + 4x = -15 + 51

12x = 36

x = 36/12 = 3

Answer 7

I don't think anyone should be doing your homework for you. But then again there's some desperate people who would do anything to get 10 points. BTW if they are easy, why don't you do them yourself.