Respuesta :

Answer:

9x - 36 = 10

Step-by-step explanation:

3/4 x - 3 = 5/6

The least common multiple of 4 and 6 is 12.

Multiply both sides of the equation by 12.

12 * (3/4 x - 3) = 12 * 5/6

12 * 3/4 x - 12 * 3 = 10

9x - 36 = 10

Answer:

[tex]x=0.196[/tex]

Step-by-step explanation:

Given Equation:

                  [tex]\frac{3}{4x} -3=\frac{5}{6}[/tex]

Taking the LCM on left hand side:

[tex]\frac{3*(1)-3*(4x)}{4x}=\frac{5}{6}[/tex]

[tex]\frac{3-12x}{4x}=\frac{5}{6}[/tex]

On Cross Multiplying both side:

        [tex](3-12x)*6=5*(4x)[/tex]

        [tex]3*(6)-12x*(6)=20x[/tex]

               [tex]18-72x=20x\\[/tex]

Adding '[tex]72x[/tex]' both sides:

           [tex]18-72x+72x=20x+72x[/tex]

                [tex]18=20x+72x\\\\18=92x\\\\x=\frac{18}{92}[/tex]

                [tex]x=0.196[/tex]

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