Solving Linear Equations Steps

The video tutorial guides viewers through solving a linear equation step-by-step. It begins with setting up the equation and emphasizes the importance of isolating the variable. The instructor demonstrates adding to both sides to eliminate constants and then dividing to solve for the variable. The process is reviewed to ensure understanding, highlighting the key steps of adding and dividing to maintain equation balance.

What is the first step in solving the equation 5x - 11 = 42?

• Add 11 to both sides

• Subtract 11 from both sides

• Divide both sides by 5

• Multiply both sides by 5

Why do we add 11 to both sides of the equation?

• To make the equation more complex

• To isolate the variable term

• To eliminate the variable

• To simplify the equation

After adding 11 to both sides, what is the resulting equation?

• 5x = 53

• 5x = 42

• 5x = 11

• 5x = 31

What operation is performed after isolating 5x?

• Subtract 5 from both sides

• Divide both sides by 5

• Multiply both sides by 5

• Add 5 to both sides

What is the value of x after solving the equation?

• x = 10

• x = 53

• x = 42

• x = 53/5

Why is it necessary to perform the same operation on both sides of the equation?

• To keep the equation balanced

• To simplify the equation

• To make the equation more complex

• To eliminate the variable

What is the final step in solving the equation?

• Multiply both sides by 5

• Divide both sides by 5

• Subtract 11 from both sides

• Add 11 to both sides

What is the purpose of dividing both sides by 5?

• To eliminate the variable

• To isolate x

• To simplify the equation

• To make the equation more complex

What is the final solution to the equation 5x - 11 = 42?

• x = 53/5

• x = 42

• x = 53

• x = 10

What is the importance of reviewing the solution steps?

• To ensure the solution is correct

• To make the equation more complex

• To simplify the equation

• To eliminate the variable