help w/ math homework?

Question

i need help so if you can show me what to do on these problems i would greatly apperciate maybe show me how to do 2 or 3:



4(5n-7)=10n+2



9(x+3)=4x-3



2(12-8x)=x-11x



3t+8(2t-6)=2+14t




2v+18=16-4(v+7)




4x-(9-3x)=8x-1




12(3+y)=5(2y+8)




-7(1-4m)=13(2m-3)





9(11-k)=3(3k-9)




4x+5(7x-3)=9(x-5)





2(6d+3)=18-3(16-3d)



8(4u-1)-12u=11(2u-6




-5(15y-1)+2(7y-16)-y




put a one in front of a variable if it's alone...okay it says to solve equations containing parantheses and having the variable in both sides :)

Answer 1

Just distribute and put like terms on the same side.
For the first as an example:


4(5n-7)=10n+2
Distribute the 4 to both items in the parenthesis.
20n - 28 = 10n + 2
Add 28 to both sides.
20n = 10n + 30
Subtract 10n from both sides.
10n = 30
Divide by 10 on both sides.
n = 3

Answer 2

4(5n-7)=10n+2 , 20n-28=10n+2 , n=30/10= 3
9(x+3)=4x-3 , 9x+27=4x-3 , x=-30/5= - 6
2(12-8x)=x-11x , 24-16x=x-11x , x=24/6=4
3t+8(2t-6)=2+14t , 3t+16t-48=2+14t , t=50/5=10
2v+18=16-4(v+7) , 2v+18=16-4v-28 , v= -30/6= -5
4x-(9-3x)=8x-1 , 8x=-8 , x= -1
12(3+y)=5(2y+8) , 36+12y=10y+40 , y=4/2 = 2
-7(1-4m)=13(2m-3) , -7+28m=26m-39 , m= - 16
9(11-k)=3(3k-9) , 99-9k=9k-27 , 18k=126 , k=7
4x+5(7x-3)=9(x-5) , 4x+35x-15=9x-45 , x= - 1
2(6d+3)=18-3(16-3d) , 12d+6=18-48+9d, d= - 12
8(4u-1)-12u=11(2u-6) , 32u-8-12u=22u-66 , u=29
-5(15y-1)=2(7y-16)-y , -88y=-37 , y=37/88
-5(15y-1)+2(7y-16)-y , 62y-27
mail me if its ok

Answer 3

This is very, very basic stuff, so get it down cold.
FIRST, there is a hierarchy of operations. You multiply out terms in brackets " ( )" before you do other operations. Then when you multiply out, the multiplier must multiply ALL terms in the bracket.
Then you combine "like terms". In these problems, you have 2 "like terms"- terms with variables to the first power and constants. Don't get them mixed up.

Let's try one"
2 (6d+3) = 18 - 3 (16-3d)
You have two terms in brackets to multiply out. This is done first. So.................
12d + 6 = 18 - 48 + 9d [dont forget sign conventions].
Its combine like terms time. While there is no hard and set rule, most people usually like to wind up with a positive coefficient of the variable. This means subtracting -9d from both sides (or whatever gibberish they tell you). Having decided that, the constants have to go to the other side. In this case, -6 is subtracted from both sides. Then, we have 3d = -36. Divide both sides by 3 (or multiply by 1/3), we get d= -12.

The rest are pretty much the same. So go for it.

Answer 4

Gosh, you really expect us to do all of these? How are you going to learn... Let me do one for you and you do the rest...

---> 4(5n-7)=10n+2
---> (4)(5n)= 20n, (4)(-7)= -28 (watch the Negative)
So now, we have ... 20n-28=10n+2
Next step: Move the -28 to the other side.... add -28 (watch the sign) to 2= 30, then move the 10n to the other side... thus, 20n-10n= 20n... so now we have 20n=30.... since 20n means multiply, you need to divide 20 to 30 which equal to 3...
Hence, n=3.... NOW MAKE US PROUD AND DO THE REST... YOU'LL LEARN TOO.. =)

Answer 5

4(5n-7)=10n+2
mutiply 4 by everything which results in 20n-28=10n+2
subtract 10n from both sides and u get 10n-28=2
add 28 to both sides and u get 10n=30
n=3

9(x+3)=4x-3
distrubute the 9
9x+27=4x-3
subtract 4x from both sides 5x+27=negative3
subtract 27 from both sides and u get 5x=negative 30
divide and
x= negative 6

2(12-8x)=x-11x
distrubute 2 24-16x=x-11x
subtract the x from the 11x 24-16x=~10x (~=negative)
add 16x to both sides 24=6x
divide 6 to both sides
x=4

3t+8(2t-6)=2+14t 8 distrubutes so that i give u 16t-48
3t+16t-48=2+14t
19t-48=2t+14t
19t=50+14t
5t=50
t=10


2v+18=16-4(v+7)
u mutiply it by negative 4 so its
-4v+-28
2v+18=16-4v+-28
add 4v
6v+18=16+-28
add 16 to -28(=-12_
6v+18=-12
subtract 18
6v=-30
v= -5
Dang so much( oh well)

All u do is distrubute, get x by itself and ur goood email me for more help, i gotta eat