Question

Solve for x .........

Answer 1

Answer:

x = 29/20 or x = 1.45

Step-by-step explanation:

6/x + 5/(4x) = 5

Multiply all terms by x and cancel.

6 + 5/4 = 5x

Combine terms on the left side of the equation.

29/4 = 5x

Divide both sides by 5.

29/4/5 = (5x)/5

29/20 = x

Answer 2

Answer:

x = 29/20

Step-by-step explanation:

$\frac{6}{x} + \frac{5}{4x} = 5$

Multiply through by the LCM

The LCM of x and 4x is 4x

So we have

${4x} \times \frac{6}{x} + {4x} \times \frac{5}{4x} = 5 \times {4x} \\ \\ 24 + 5 = 20x \\ \\ 20x = 29 \\ \\ x = \frac{29}{20} \: \: \: or \: \: \: 1 \frac{9}{20}$

Hope this helps you