We've previously looked at multi-step equations involving integers . Now we'll look at solving multi-step equations with rational numbers.
When solving multi-step equations involving decimals, we can follow the same steps as we did when solving equations with integers:
Solve the following equation: 0.2(4+x)=-3.8
To simplify an equation that has decimal terms, follow the same steps that we do when solving equations with integers.
To simplify an equation that has fractional terms, multiply both sides of the equation by the least common multiple of all denominators that appear in the equation. This will get rid of all the denominators in the equation.
Once we eliminate the fractional terms, we will follow the same steps that we did when solving equations with integers.
Solve the following equation: \dfrac{9x}{3}+\dfrac{9x}{2}=-5
Solve \dfrac{8}{9}=\dfrac{7}{x}.
To simplify an equation that has fractional terms, multiply both sides of the equation by the least common multiple of all denominators that appear in the equation.
We can also use cross multiplication so that we can remove the fractions in the equation before isolating x and solving the equation.
Follow the same steps that we do when solving equations with integers.