Solving Rational Equations Using Additive and Multiplicative Inverses

The video tutorial teaches how to solve rational equations using additive and multiplicative inverses. It explains the concept of a solution in math and emphasizes the importance of using the order of operations. Two example problems are solved step-by-step, demonstrating the process of using inverses and checking solutions to ensure they do not result in undefined numbers. The tutorial highlights common mistakes and reinforces the importance of understanding number rules.

What is the primary goal when finding a solution to an equation in mathematics?

• To find a number that makes the equation false

• To find a number that makes the equation true

• To find a number that makes the equation undefined

• To find any random number

When solving rational equations, why is it important to avoid a zero denominator?

• Because it makes the equation easier to solve

• Because it results in an undefined number

• Because it makes the equation more complex

• Because it simplifies the equation

In the equation x - 2 over 7 equals 4 over 21, what is the first step to solve it?

• Divide both sides by 7

• Multiply both sides by 21

• Subtract 4 from both sides

• Add 7 to both sides

What is the solution for x in the equation 5 over x equals 13 over x minus 3?

• x = 8 over 15

• x = -15 over 8

• x = -8 over 15

• x = 15 over 8

What is the least common multiple used to solve the equation 5 over x equals 13 over x minus 3?

• 5 times 13

• x times x minus 3

• x plus 3

• x minus 3