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7x + 12 = -16


1.2x = 2.3x - 2.2


4x + 21 = 7 (x +9)


| x - 4 | = 15


| 5x + 11 | = 9


| 13 + 2x | = 5

2007-07-11 07:34:57 · 11 answers · asked by jwise666 1 in Science & Mathematics Mathematics

11 answers

7x + 12 = - 16

Transpose 12

7x + 12 - 12 = - 16 - 12

7x = - 28

Divide both sides of the equation by 7

7x / 7 = - 28 / 7

x = - 28 / 7

x = - 14

- - - - - - - - -

1.2x= 2.3x - 2.2

Transpose 1.2x

1.2x - 1.2x = 2.3x - 2.2 - 1.2x

0 = 1.1x - 2.2

Transpose 2.2

0 + 2.2 = 1.1x - 2.2 + 2.2

2.2 = 1.1x

Divide both sides of the equation by 1.1

2.2 / 1.1 = 1.1x / 1.1

2.2 / 1.1 = x

2 = x

- - - - - - - - - -

4x + 21 = 7(x + 9)

The distributive property on the right side of the equation.

4x + 21 = 7x + 63

Transpose 4x

4x + 21 - 4x = 7x + 63 - 4x

Collecting like terms

21 = 3x + 63

Transpose 63

21 - 63 = 3x + 63 - 63

- 42 = 3x

Divide both sides of the equation by 3

- 42 / 3 = 3x / 3

- 42 / 3 = x

- 14 = x

- - - - - - - - -

┃x - 4┃ = 15

x - 4 = 15

Transpose 4

x - 4 + 4 = 15 - 4

x = 11

- - - - - - - - -

┃5x + 11┃ = 9

5x + 11 = 9

Transpose 11

5x + 11 - 11 = 9 - 11

5x = - 2

Divide both sides of the equation by 5

5x / 5 = - 2 / 5

x = - 2 / 5

- - - - - - - - -

┃13 + 2x┃ = 5

13 + 2x = 5

Transpose 13

13 + 2x - 13 = 5 - 13

2x - 8

Divide both sides of the equation by 2

2x / 2 = - 8 / 2

x = - 8 / 2

x = - 4

- - - - - - - -s-

2007-07-11 08:36:13 · answer #1 · answered by SAMUEL D 7 · 1 0

7x=-28 => x= - 28/7
1.2x - 2.3x =-22 => - 1.1x = - 22 => x=22/1.1 minus cancel each other
4x+21=7x+63 => - 3x = 42 => x= - 42/3 => x= -14
x-4= +- 25 x-4=+15 ,, x-4 = -15
x=19 ,,, x= - 11
5x+11 = +-9 5x+11=9 ,, 5x+11 = -9
5x= -2 ,,, 5x= -20
x= -2/5 ,, x= -4
13+2x =+-5 2x=-8 2x = -18
x= -4 x= -9

2007-07-11 07:50:33 · answer #2 · answered by Anonymous · 0 0

7x +12 = -16
7x = -28
x = -4

1.2x = 2.3x -2.2
0 = -1.1x -2.2
1.1x = -2.2
x =2

- (x - 4) = 15 or x - 4 = 15
4 - x = 15
x = -11 or x = 19

-(5x + 11) = 9 or 5x + 11 =9
-5x = 20 or 5x = -2
x= -4 or x= -2/5

-(13 + 2x) = 5 or 13 + 2x = 5
-2x = 18 or 2x = -8
x = -9 or x = -4

2007-07-11 07:47:15 · answer #3 · answered by Anonymous · 0 0

7x+12=-16 --> 7x = -16-12 = -28 , so x = -28/7 = -4

1.2x = 2.3x -2.2
-1.1x = -2.2 --> x = 2

4x+21 =7x + 63
-3x = 42 --> x = -14

| x - 4 | = 15
x-4 = 15 --> x = 15+4 = 19
x-4 = - 15 --> x= -15+4 = -11

Remaining problems solved the same way

2007-07-11 07:57:17 · answer #4 · answered by ironduke8159 7 · 0 0

#1
7x + 12 = -16
7x = -16 -12
7x = -28
x = -28/7
x = -4


#2
1.2x = 2.3x - 2.2
1.2x - 2.3x = -2.2
x (1.2 - 2.3) = -2.2
x (-1.10) = -2.2
x = -2.2 / -1.10
x = 2

#3
4x + 21 = 7 (x + 9)
4x + 21 = 7x + 63
4x - 7x = 63 - 21
x (4 - 7) = 42
x (-3) = 42
x = 42 / -3
x = -14


#4 (There are two Solutions)
|x - 4| = 15
x - 4 = 15
x = 15 + 4
x = 19

|x - 4| = 15
x - 4 = -15
x = -15 + 4
x = -11


#5 (There are two solutions)
|5x + 11| = 9
5x + 11 = 9
5x = 9 - 11
5x = -2
x = -2/5

|5x + 11| = 9
5x +11 = -9
5x = -9 - 11
5x = -20
x = -20/5
x = -4


#6 (There are two solutions)
|13 + 2x| = 5
13 + 2x = 5
2x = 5 -13
2x = -8
x = -8/2
x = -4

|13 +2x| = 5
13 + 2x = -5
2x = -5 -13
2x = -18
x = -18/2
x = -9

2007-07-11 07:59:14 · answer #5 · answered by Pato B. 1 · 0 0

| x - 4 | = 15

"The absolute value of (x-4) is equal to 15"

The absolute value is the value without the sign.
Therefore, there could be two answers:

x - 4 = 15
x -4 + 4 = 15 + 4 (added 4 to both sides)
x = 19

OR

- (x - 4) = 15
-x + 4 = 15 (multiply the - through the parenthesis)
-x + 4 - 4 = 15 - 4 (take away 4 from both sides)
-x = 11
-1 * -x = -1 * 11 (multiply both sides by -1)
x = -11

Both are correct answers. This is often the case with absolute values.

2007-07-11 07:51:59 · answer #6 · answered by Raymond 7 · 0 0

1) 7x=-16-12
x=-28/7
2)1.2x-2.3x=-2.2
-1.1x=-2.2
x=2.2/1.1=2
3)4x=7x+63-21
-3x=24x=-8
4)|x-4|=15 means x-4=15 or x-4 =-15 two possible solutions
x=19;x=-11
do the rest also in the same way,
make 'x' as the subject
and find it

2007-07-11 07:46:39 · answer #7 · answered by somayajula_santosh 1 · 0 0

upload a million.2 + 6.8 = 8 now you have 8+w=12 subtract 8 on the two facets to get w= 4 and thats your answer right that's the entire equation a million.2+6.8+w = 12 8+w=12 w=4 you ought to characteristic in that u subtracted 8 from the two facets

2016-10-20 21:06:58 · answer #8 · answered by ? 4 · 0 0

Are you serious? Are you in summer school because you didn't learn this stuff last year?
Seems like 3 months ago you were asking about quadratic equations.

2007-07-11 07:39:32 · answer #9 · answered by davidosterberg1 6 · 0 2

im not doing your math homework.

2007-07-11 07:45:42 · answer #10 · answered by Anonymous · 0 1

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