Solve frac{a_{1}}{a_{2}}=100/10

$$\frac { a _ { 1 } } { a _ { 2 } } = \frac { 100 } { 10 }$$

Solve for a_1

$$a_{1}=10a_{2}$$

$$a_{2}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10a_{2}, the least common multiple of a_{2},10.

$$10a_{1}=a_{2}\times 100$$

The equation is in standard form.

$$10a_{1}=100a_{2}$$

Divide both sides by 10.

$$\frac{10a_{1}}{10}=\frac{100a_{2}}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$a_{1}=\frac{100a_{2}}{10}$$

Divide 100a_{2} by 10.

$$a_{1}=10a_{2}$$

Solve for a_2

$$a_{2}=\frac{a_{1}}{10}$$

$$a_{1}\neq 0$$

Steps for Solving Linear Equation

Variable a_{2} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10a_{2}, the least common multiple of a_{2},10.

$$10a_{1}=a_{2}\times 100$$

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

$$a_{2}\times 100=10a_{1}$$

The equation is in standard form.

$$100a_{2}=10a_{1}$$

Divide both sides by 100.

$$\frac{100a_{2}}{100}=\frac{10a_{1}}{100}$$

Dividing by 100 undoes the multiplication by 100.

$$a_{2}=\frac{10a_{1}}{100}$$

Divide 10a_{1} by 100.

$$a_{2}=\frac{a_{1}}{10}$$

Variable a_{2} cannot be equal to 0.

$$a_{2}=\frac{a_{1}}{10}\text{, }a_{2}\neq 0$$