Solve cos53=4,2/x

$$\cos 53 = \frac { 4,2 } { x }$$

Solve for x

$$x=\frac{21}{5\cos(53)}\approx -4.573754472$$

Steps for Solving Linear Equation

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

$$x\cos(53)=4,2$$

The equation is in standard form.

$$\cos(53)x=4,2$$

Divide both sides by \cos(53).

$$\frac{\cos(53)x}{\cos(53)}=\frac{4,2}{\cos(53)}$$

Dividing by \cos(53) undoes the multiplication by \cos(53).

$$x=\frac{4,2}{\cos(53)}$$

Divide 4,2 by \cos(53).

$$x=\frac{21}{5\cos(53)}$$