Substitution Method in Algebra

The video tutorial covers solving systems of equations using two methods: graphing and substitution. Initially, it explains the concept of systems of equations and demonstrates solving them by graphing, finding the intersection of two lines. The tutorial then introduces the substitution method, showing how to solve equations by substituting one equation into another. An advanced example of substitution is provided, illustrating the process of solving equations in standard form. The video concludes by encouraging viewers to watch the next lesson for more methods.

What does a system of equations mean?

• A quadratic equation

• An equation with no solution

• More than one equation to be solved together

• A single equation with multiple variables

What is the usual number of equations in a system?

• One

• Four

• Two

• Three

What is the first step in solving a system by graphing?

• Finding the slope

• Plotting the intercept

• Solving for Y

• Finding the intersection

What is the slope of the equation Y = X + 2?

• 1

• 2

• -2

• -1

What is the Y-intercept of the equation Y = X + 2?

• 0

• 1

• 2

• -2

What is the slope of the equation Y = -2X + 1?

• 1

• -2

• -1

• 2

What is the Y-intercept of the equation Y = -2X + 1?

• 0

• 1

• -1

• 2

What is the solution to the system of equations Y = X + 2 and Y = -2X + 1?

• (2, 3)

• (0, 0)

• (1, 1)

• (3, 2)

What is the substitution method?

• Using matrices to solve equations

• Replacing one variable with another

• Eliminating variables

• Solving equations by graphing

What should you do if both equations are already solved for Y in substitution?

• Graph the equations

• Substitute one equation into the other

• Add the equations

• Multiply the equations