Solve {l}{text{Solve}}{5/2x+1/4x=3/4}

$$\left. \begin{array} { l } { \text { Solve } } \\ { \frac { 5 } { 2 } x + \frac { 1 } { 4 } x = \frac { 3 } { 4 } } \end{array} \right.$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Combine 2x and \frac{1}{4}x to get \frac{9}{4}x.

$$\frac{9}{4}x=\frac{3}{4}$$

Multiply both sides by \frac{4}{9}, the reciprocal of \frac{9}{4}.

$$x=\frac{3}{4}\times \frac{4}{9}$$

Multiply \frac{3}{4} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 4}{4\times 9}$$

Cancel out 4 in both numerator and denominator.

$$x=\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$x=\frac{1}{3}$$