Solving Linear Equations with Fractions

The video tutorial explains how to solve linear equations involving fractions by isolating the variable. It provides two examples: X + 3/4 = 5/9 and X - 1/6 = -1/15. The tutorial demonstrates how to manipulate equations to isolate the variable, find common denominators, and simplify fractions to find the solution.

What is the primary goal when solving a linear equation involving fractions?

• To multiply both sides by zero

• To eliminate all fractions

• To isolate the variable on one side

• To find the common denominator

In the equation X + 3/4 = 5/9, what operation should be performed to isolate X?

• Subtract 3/4 from both sides

• Multiply both sides by 4

• Divide both sides by 9

• Add 3/4 to both sides

What is the least common multiple of 4 and 9 used in the first example?

• 12

• 36

• 18

• 24

After finding a common denominator, what is the result of 20 - 27 in the first example?

• -47

• -7

• 7

• 47

In the second example, what operation is needed to isolate X in X - 1/6 = -1/15?

• Add 1/6 to both sides

• Subtract 1/6 from both sides

• Divide both sides by 15

• Multiply both sides by 6

What is the least common multiple of 6 and 15 used in the second example?

• 90

• 45

• 60

• 30

What is the simplified form of the solution 3/30 in the second example?

• 3/5

• 1/5

• 3/10

• 1/10

What common factor is used to simplify 3/30 in the second example?

• 10

• 3

• 2

• 5

What is the result of adding -2/30 and 5/30 in the second example?

• 5/30

• 1/30

• 7/30

• 3/30

What is the final solution for X in the second example after simplification?

• X = 1/30

• X = 1/15

• X = 1/10

• X = 1/5