Question

X + + x plus StartFraction x Over 7 EndFraction plus StartFraction 1 Over 11 EndFraction left-parenthesis x plus StartFraction x Over 7 EndFraction right-parenthesis equals 60.(x + ) = 60

Answer 1

Answer:

$x = \frac{770}{16}$

Step-by-step explanation:

Given

$x + \frac{x}{7} + \frac{1}{11} (x + \frac{x}{7}) = 60$

Required

Solve for x

$x + \frac{x}{7} + \frac{1}{11} (x + \frac{x}{7}) = 60$

Start by solving the bracket [Take LCM]

$x + \frac{x}{7} + \frac{1}{11} (\frac{7x + x}{7}) = 60$

$x + \frac{x}{7} + \frac{1}{11} (\frac{8x}{7}) = 60$

Open the bracket

$x + \frac{x}{7} + \frac{8x}{77} = 60$

Take LCM

$\frac{77x + 11x + 8x}{77} = 60$

$\frac{77x + 11x + 8x}{77} = 60$

$\frac{96x}{77} = 60$

Multiply both sides by 77

$77 * \frac{96x}{77} = 60 * 77$

$96x = 60 * 77$

Divide both sides by 96

$\frac{96x}{96} = \frac{60 * 77}{96}$

$x = \frac{60 * 77}{96}$

Divide the numerator and denominator by 6

$x = \frac{10 * 77}{16}$

$x = \frac{770}{16}$

Answer 2

Answer:

48.125

Step-by-step explanation: