Literal Equations

A literal equation is an equation that involves two or more variables and is solved for one variable in terms of the others.

To isolate a variable, you can use inverse operations (addition, subtraction, multiplication, division) to rearrange the equation.

The first step is to cross-multiply to eliminate the fractions, resulting in $$a \times d = b \times c$$ .

After cross-multiplying, the formula for b is $$b = \frac{ad}{c}$$ .

To 'solve for a variable' means to express that variable in terms of other variables or constants in the equation.

Literal equations are important because they allow us to express relationships between variables, which can be applied in various fields such as physics, engineering, and economics.

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Rearranging gives $$x = \frac{y - b}{m}$$ .

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Cross-multiplication refers to the process of multiplying the numerator of one fraction by the denominator of the other to eliminate fractions.