What are equivalent equations - why we have to use properties of equality

The video tutorial explains the concept of equivalent equations, emphasizing their utility in solving equations involving fractions and systems of equations by elimination. It demonstrates how to solve a basic equation and create equivalent equations by multiplying or dividing by a number, including handling fractions. The tutorial highlights the importance of maintaining equivalent forms to simplify and solve equations effectively.

What is the primary benefit of using equivalent equations when solving systems of equations?

• They simplify the equations by removing variables.

• They help in making the coefficients the same.

• They eliminate the need for any calculations.

• They provide multiple solutions to the equations.

When multiplying an equation by a number to create an equivalent equation, what must be done?

• Multiply only the terms on one side of the equation.

• Multiply only the constant terms.

• Multiply only the variable terms.

• Multiply every term in the equation.

What is the result of multiplying the equation 3x - 1 = 11 by 2?

• 3x - 2 = 22

• 3x - 1 = 22

• 6x - 1 = 22

• 6x - 2 = 22

How can dividing an equation by a number help in solving it?

• It changes the solution of the equation.

• It eliminates the need for further calculations.

• It makes the equation more complex.

• It can simplify the equation by reducing fractions.

What is the equivalent equation of 3/2x - 1/2 = 11/2 when multiplied by 2?

• 6x - 1 = 11

• 3x - 1 = 22

• 3x - 1 = 11

• 6x - 2 = 22