Solving Linear Equations with Fractions

The video tutorial explains how to solve a simple linear equation involving fractions. It begins by introducing the equation 28/3 = 1/3 + x and discusses the need to isolate the variable x. The tutorial demonstrates subtracting 1/3 from both sides to maintain equality, simplifying the equation to x = 9. Finally, it verifies the solution by substituting x back into the original equation, confirming that both sides are equal.

What is the initial equation given in the problem?

• x = 28/3 + 1/3

• 1/3 = 28/3 + x

• 28/3 = 1/3 + x

• 28/3 = x - 1/3

What is the first step to isolate the variable x?

• Divide both sides by 28

• Multiply both sides by 3

• Subtract 1/3 from both sides

• Add 1/3 to both sides

Why do we subtract 1/3 from both sides of the equation?

• To change the equality

• To isolate the variable x

• To simplify the equation

• To add fractions

What is 28/3 - 1/3 simplified to?

• 27/3

• 28

• 9

• 1

What is the simplified form of 27/3?

• 9

• 27

• 3

• 1

What happens to 1/3 - 1/3 on the right-hand side of the equation?

• It remains 1/3

• It becomes 0

• It becomes 1

• It cancels out

What is the value of x after solving the equation?

• 3

• 27

• 9

• 1

What is the next step after finding the value of x?

• Rewrite the equation

• Verify the solution

• Subtract fractions

• Simplify the equation

What is 9 rewritten as a fraction with a denominator of 3?

• 18/3

• 36/3

• 9/3

• 27/3

What is the final verification step in the solution?

• Check if 28/3 equals 28/3

• Check if 1/3 equals 1/3

• Check if 9 equals 9

• Check if 27/3 equals 27/3