Question

What is the solution to the equation StartFraction x Over 3 EndFraction + StartFraction x Over 6 EndFraction = seven-halves? x = Three-halves x = Seven-thirds x = 3 x = 7

Answer 1

Answer:

The value of x is 7.

Step-by-step explanation:

First, you have to make both fractions into 1 fraction :

$\frac{x}{3} + \frac{x}{6} = \frac{7}{2}$

$\frac{x \times 2}{3 \times 2} + \frac{x}{6} = \frac{7}{2}$

$\frac{2x}{6} + \frac{x}{6} = \frac{7}{2}$

$\frac{3x}{6} = \frac{7}{2}$

Next, you have to do cross-multiplication and solve the value of x :

$\frac{3x}{6} = \frac{7}{2}$

$3x(2) = 7(6)$

$6x = 42$

$x = 42 \div 6$

$x = 7$