Summary of Solving Rational Equations

00:00:00 - 00:10:00

This video covers how to solve rational equations by finding the least common multiple of the variables. The presenter uses several examples to illustrate the process.

• 00:00:00 In this lesson, the presenter explains how to solve rational equations. They start with an example involving 5 over 8, minus 3 over 5, and x over 10. They then explain that in order to solve the equation, they need to clear away all fractions and find the least common multiple of the variables. They also show how to solve a problem involving 9 divided by x, which results in x being equal to 5.
• 00:05:00 In this video, the presenter solves rational equations using the least common multiple. They first solve a problem in which x is equal to seven. They then solve a problem in which x is equal to one. The last problem they solve is in which five over x plus 5 minus 5 over x is equal to 14 over x squared minus 25.
• 00:10:00 In this video, the equations x equals 14 and x equals 10 are solved. 14 is distributed evenly among the x's, and 10 is distributed as 5x plus 25. The negative 5x cancels out, leaving x equals 13. The equation x plus 3 is solved, and x equals 13 plus 3, which equals 16. Finally, the equation x minus 13 is solved, and x equals 6.