Solve tan15=x/40-y

$$\tan 15 = \frac { x } { 40 - y }$$

Solve for x

$$x=-\frac{2679491924311227y}{10000000000000000}+10.717967697244908$$

$$y\neq 40$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.2679491924311227 = \frac{x}{40 - y}$$

Multiply both sides of the equation by -y+40.

$$0.2679491924311227\left(-y+40\right)=x$$

Use the distributive property to multiply 0.2679491924311227 by -y+40.

$$-0.2679491924311227y+10.717967697244908=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=-0.2679491924311227y+10.717967697244908$$

Solve for y

$$y=-\frac{10000000000000000x}{2679491924311227}+40$$

$$x\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.2679491924311227 = \frac{x}{40 - y}$$

Variable y cannot be equal to 40 since division by zero is not defined. Multiply both sides of the equation by -y+40.

$$0.2679491924311227\left(-y+40\right)=x$$

Use the distributive property to multiply 0.2679491924311227 by -y+40.

$$-0.2679491924311227y+10.717967697244908=x$$

Subtract 10.717967697244908 from both sides.

$$-0.2679491924311227y=x-10.717967697244908$$

Divide both sides of the equation by -0.2679491924311227, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-0.2679491924311227y}{-0.2679491924311227}=\frac{x-10.717967697244908}{-0.2679491924311227}$$

Dividing by -0.2679491924311227 undoes the multiplication by -0.2679491924311227.

$$y=\frac{x-10.717967697244908}{-0.2679491924311227}$$

Divide x-10.717967697244908 by -0.2679491924311227 by multiplying x-10.717967697244908 by the reciprocal of -0.2679491924311227.

$$y=-\frac{10000000000000000x}{2679491924311227}+40$$

Variable y cannot be equal to 40.

$$y=-\frac{10000000000000000x}{2679491924311227}+40\text{, }y\neq 40$$