Solve x-3.5/x=tan(31^circ)

$$\frac{ x-3.5 }{ x } = \tan ( 31 ^ { \circ } )$$

Solve for x

$$x = \frac{8750000000000000}{997848452431099} = 8\frac{767212380551208}{997848452431099} \approx 8.768866634$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{x - 3.5}{x} = 0.6008606190275604$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x-3.5=0.6008606190275604x$$

Subtract 0.6008606190275604x from both sides.

$$x-3.5-0.6008606190275604x=0$$

Combine x and -0.6008606190275604x to get 0.3991393809724396x.

$$0.3991393809724396x-3.5=0$$

Add 3.5 to both sides. Anything plus zero gives itself.

$$0.3991393809724396x=3.5$$

Divide both sides by 0.3991393809724396.

$$x=\frac{3.5}{0.3991393809724396}$$

Expand \frac{3.5}{0.3991393809724396} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{35000000000000000}{3991393809724396}$$

Reduce the fraction \frac{35000000000000000}{3991393809724396} to lowest terms by extracting and canceling out 4.

$$x=\frac{8750000000000000}{997848452431099}$$