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How to do the problems and the answers:
1.8y-(5y+2)=16
2.8x-4(x-2)=24
3.4(2n+1)-3(2n-5)=29
if you can do all of them that would be great or at least some of them thanks!

2007-11-07 10:34:34 · 12 answers · asked by heely03 2 in Science & Mathematics Mathematics

wow guys thanks already thanks ironduke,steve112.. and everyone else!This is a close call so I will let everyone vote for the best answer!And NHL92, you are right i am checking my work and I am working to be a grade A student.

2007-11-07 11:24:01 · update #1

12 answers

ill do the first one so you can learn and get the idea

1) distribute the negative sign
8y-5y-2=16
3y-2=16
3y=18
y=6

2007-11-07 10:39:11 · answer #1 · answered by Viv 3 · 1 0

1) Simplifying
8y + -1(5y + 2) = 16

Reorder the terms:
8y + -1(2 + 5y) = 16
8y + (2 * -1 + 5y * -1) = 16
8y + (-2 + -5y) = 16

Reorder the terms:
-2 + 8y + -5y = 16

Combine like terms: 8y + -5y = 3y
-2 + 3y = 16

Solving
-2 + 3y = 16

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 3y = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 3y = 16 + 2
3y = 16 + 2

Combine like terms: 16 + 2 = 18
3y = 18

Divide each side by '3'.
y = 6

Simplifying
y = 6

2) Simplifying
8x + -4(x + -2) = 24

Reorder the terms:
8x + -4(-2 + x) = 24
8x + (-2 * -4 + x * -4) = 24
8x + (8 + -4x) = 24

Reorder the terms:
8 + 8x + -4x = 24

Combine like terms: 8x + -4x = 4x
8 + 4x = 24

Solving
8 + 4x = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 4x = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 24 + -8
4x = 24 + -8

Combine like terms: 24 + -8 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

3) Simplifying
4(2n + 1) + -3(2n + -5) = 29

Reorder the terms:
4(1 + 2n) + -3(2n + -5) = 29
(1 * 4 + 2n * 4) + -3(2n + -5) = 29
(4 + 8n) + -3(2n + -5) = 29

Reorder the terms:
4 + 8n + -3(-5 + 2n) = 29
4 + 8n + (-5 * -3 + 2n * -3) = 29
4 + 8n + (15 + -6n) = 29

Reorder the terms:
4 + 15 + 8n + -6n = 29

Combine like terms: 4 + 15 = 19
19 + 8n + -6n = 29

Combine like terms: 8n + -6n = 2n
19 + 2n = 29

Solving
19 + 2n = 29

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-19' to each side of the equation.
19 + -19 + 2n = 29 + -19

Combine like terms: 19 + -19 = 0
0 + 2n = 29 + -19
2n = 29 + -19

Combine like terms: 29 + -19 = 10
2n = 10

Divide each side by '2'.
n = 5

Simplifying
n = 5

2007-11-07 10:48:46 · answer #2 · answered by Anonymous · 1 0

1. 8y-5y+2=16;
3y=14
y=14/3

2. 8x-4x+8=24;
4x=16
x =4

3. (8n+4)+(-6n+15)=29
2n+19=29
2n=10
n=5

2007-11-07 10:45:06 · answer #3 · answered by Kenny 2 · 1 0

8y - ( 5y + 2 ) =16
The minus before the 5y + 2 in parenthesis means that the 5y + 2 must be multiplied
by - 1. This change results in the new
equation :
8y - 5y -2 = 16

3y = 18

y = 6

2007-11-07 10:53:18 · answer #4 · answered by JACK G 2 · 1 0

1.8y-(5y+2)=16
8y -5y -2 = 16
3y = 18
y=6

2.8x-4(x-2)=24
8x -4x +8 = 24
4x = 16
x = 4

3.4(2n+1)-3(2n-5)=29
8n+4-6n+15 = 29
2n = 10
n = 5

2007-11-07 10:40:11 · answer #5 · answered by ironduke8159 7 · 2 0

1. 8y - (5y + 2)=16
8y-5y-2=16
3y-2=16
3y=18
y=6

2. 8x-4(x-2)=24
8x-4x+8=24
4x+8=24
4x=16
x=4

3. 4(2n+1)-3(2n-5)=29
8n+4-6n+15=29
2n+19=29
2n=10
n=5

Hope that helps!

2007-11-07 10:47:44 · answer #6 · answered by tizzyler03 2 · 1 0

Ironduke has the correct answer and the correct way of getting them.

By the way, people in my house think you are cheating but I strongly disagree with. I think you are a smart kid and just trying to check your homework. I bet you are an A grade student who simply likes to verify your homework by going extra mile.

Keep it up, and do not get persuaded by the naysayers.

GOOD LUCK.......

2007-11-07 10:50:24 · answer #7 · answered by NHL92 2 · 0 1

1.
8y-(5y+2)=16
8y-5y-2=16
3y-2=16
3y=18
y=6
2.
8x-4(x-2)=24
8x-4x+8=24
4x+8=24
4x=16
x=4
3.
4(2n+1)-3(2n-5)=29
8n+4-6n+15=29
2n+19=29
2n=10
n=5

2007-11-07 11:00:04 · answer #8 · answered by Josh T 2 · 1 0

are u trying to put them in standard form? are u solving for x? for y? what are u trying to do here?

2007-11-07 10:43:06 · answer #9 · answered by LOSTfann 2 · 0 1

THE GUY BEFORE ME IS RIGHT THE IORNDUKE ONE

2007-11-07 10:44:30 · answer #10 · answered by N.J.L. 2 · 0 1

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