|3 - 3/4x| = 1/4?

Question

Solve the absolute value equation

Answer 1

І3 - 3/4xІ = 1/4

3 - 3/4x = 1/4

Clear both fractions. Multiply both sides of the equation by 4

4(3) - (4)3/4x) = 4(1/4)

12 - 3x + 1

Transpose 12

12 - 3x - 13 = 1 - 12

- 3x = - 11

Divide both sides of the equation by - 3

- 3x / - 3 = - 11 / - 3

x = - 11 / - 3

x = 11 / 3

x = 3 2/3

- - - - - - - -s-

Answer 2

3-3/4x = 1/4
+3 +3

-3/4x= -11/4
x -4/3 x-4/3

x= 44/12
simplified
x=11/3

Answer 3

i believe there are 2 answers, because of the absolute sign. First multiply both sides with 4 to get it in all whole numbers, easier to see:
4(|3-3/4x|) = 4(1/4)
|12-3x| = 1
Therefore 3x =11 or 3x= 13 because the absolute sign would remove the - in front of the second answer.

Answer 4

I3-3/4xI=1/4
Either 3-3/4x=1/4 or -(3-3/4x)=1/4
12-3x=1 or -12+3x=1
-3x=-11 or 3x=13
x=11/3 or x=13/3 ans

Answer 5

|3 - 3/4x| = 1/4
3- 3x/4 = 1/4 or -(3-3x/4) =1/4
1)3- 3x/4 = 1/4
3x/4 = 11/4
x= 11/3

2)-(3-3x/4) =1/4
-3+3x/4=1/4
3x/4 = 13/4
x=13/3

Answer 6

we have
3-3/4x=1/4
therefore12x-3/4x=1/4
12x-3=4x/4
12x-3=x
12x-x=3
11x=3
x=3/11

Answer 7

You must solve two equations:


3 - 3/4x= 1/4 ..................................... 3 - 3/4x= -1/4
- 3/4x= 1/4 - 3 ..................... .......... - 3/4x = -1/4 -3
- 3/4x= -11/4 ..................... ........ -3/4x = -13/4
3/4x = 11/4..................... ........ 3/4x = 13/4
3 = 4x(11/4) ..................... ....... 3 = 4x(13/4)
3 = 11x ..................... ................. 3 = 13x
3/11 = x ..................... ................ 3/13 = x

Answer x = ( 3/11, 3/13)

Answer 8

|3-(3)/(4x)|=(1)/(4)

3-(3)/(4x)=\((1)/(4))

3-(3)/(4x)=(1)/(4)

-(3)/(4x)=-(11)/(4)

-3*4=-11*4x

-11*4x=-3*4

-44x=-3*4

-44x=-12

x=(3)/(11)

3-(3)/(4x)=-((1)/(4))

-(3)/(4x)=-3-((1)/(4))

-(3)/(4x)=-(13)/(4)

-3*4=-13*4x

-13*4x=-3*4

-52x=-3*4

-52x=-12

-(52x)/(-52)=-(12)/(-52)

x=-(12)/(-52)

x=(3)/(13)

x=(3)/(11),(3)/(13)

x=(3)/(11)