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]