Substitution Method in Algebra

The video tutorial explains how to solve simultaneous equations using the substitution method. It begins by introducing the concept and setting up the equations. The instructor prefers the substitution method, especially for higher grades. The process involves isolating one variable, substituting it into the other equation, and solving for the remaining variable. The tutorial demonstrates isolating Y, substituting it into the second equation, solving for X, and then using X to find Y. The final solution is X = -4 and Y = -2.

What are the two main methods for solving simultaneous equations mentioned in the video?

• Elimination and Substitution

• Graphing and Factoring

• Completing the Square and Substitution

• Quadratic Formula and Elimination

Why does the instructor prefer the substitution method?

• It requires fewer steps.

• It avoids fractions.

• It is more commonly used in higher grades.

• It is easier for complex equations.

What is the first step in the substitution method?

• Solve for X in both equations.

• Choose one equation and isolate a variable.

• Graph the equations.

• Multiply both equations by a constant.

Which variable is isolated in the first equation?

• X

• Neither

• Both X and Y

• Y

Why is it important to isolate a variable in one of the equations?

• To eliminate fractions

• To make the equation simpler

• To substitute it into the other equation

• To graph the solution

What is the expression for Y after rearranging the first equation?

• Y = 2X - 10

• Y = -2X - 10

• Y = -2X + 10

• Y = 2X + 10

What do you do after finding the expression for Y?

• Substitute it into the second equation.

• Substitute it into the first equation.

• Solve for Y in the second equation.

• Graph the expression.

What does the substitution method primarily involve?

• Eliminating one variable

• Replacing one variable with an expression

• Using the quadratic formula

• Graphing the equations

What is the result of substituting the expression for Y into the second equation?

• An equation with no solution

• A linear equation in X

• An equation with two variables

• A quadratic equation

What is the value of X after solving the equation?

• 4

• -4

• 2

• -2