How to use the substitution method to solve the system

The video tutorial demonstrates solving a system of equations using substitution and the distributive property. It begins with an introduction to the equations and explains the substitution method by replacing a variable with its equivalent expression. The tutorial then applies the distributive property to simplify the equation and solve for X. Finally, it uses the value of X to find the value of Y, completing the solution process.

What is the advantage of having an equation already solved for a variable?

• It makes the equation more complex.

• It allows for easier substitution into another equation.

• It eliminates the need for any calculations.

• It provides the final solution directly.

What property is applied to simplify the equation after substitution?

• Commutative Property

• Associative Property

• Identity Property

• Distributive Property

After applying the distributive property, what is the next step in solving for the variable?

• Multiply both sides by the variable.

• Add the coefficients together.

• Divide by the coefficient of the variable.

• Subtract the constant from both sides.

Once the value of X is found, what should be done next?

• Use it to find the value of Y.

• Ignore it and solve for another variable.

• Check if it satisfies the original equation.

• Multiply it by the constant term.

How is the value of Y determined after finding X?

• By dividing X by the constant term.

• By substituting X back into one of the original equations.

• By adding X to the constant term.

• By multiplying X by the coefficient of Y.