Solve frac{a_{1}}{1,8}=12/x

$$\frac { a _ { 1 } } { 1,8 } = \frac { 12 } { x }$$

Solve for a_1

$$a_{1}=\frac{108}{5x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{5}{9}a_{1}=\frac{12}{x}$$

Divide both sides of the equation by \frac{5}{9}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{9}a_{1}}{\frac{5}{9}}=\frac{12}{\frac{5}{9}x}$$

Dividing by \frac{5}{9} undoes the multiplication by \frac{5}{9}.

$$a_{1}=\frac{12}{\frac{5}{9}x}$$

Divide \frac{12}{x} by \frac{5}{9} by multiplying \frac{12}{x} by the reciprocal of \frac{5}{9}.

$$a_{1}=\frac{108}{5x}$$

Solve for x

$$x=\frac{108}{5a_{1}}$$

$$a_{1}\neq 0$$

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.

$$x\times \frac{a_{1}}{1,8}=12$$

The equation is in standard form.

$$\frac{5a_{1}}{9}x=12$$

Divide both sides by \frac{5}{9}a_{1}.

$$\frac{9\times \frac{5a_{1}}{9}x}{5a_{1}}=\frac{9\times 12}{5a_{1}}$$

Dividing by \frac{5}{9}a_{1} undoes the multiplication by \frac{5}{9}a_{1}.

$$x=\frac{9\times 12}{5a_{1}}$$

Divide 12 by \frac{5}{9}a_{1}.

$$x=\frac{108}{5a_{1}}$$

Variable x cannot be equal to 0.

$$x=\frac{108}{5a_{1}}\text{, }x\neq 0$$