Solving Systems of Equations Using Substitution

Miss Smith's math tutorial covers solving systems of equations using the substitution method. The video begins with an introduction to the substitution method, followed by several examples demonstrating how to solve systems of equations by substituting one variable into another equation. The tutorial also addresses special cases, such as when there is no solution or infinite solutions. The video concludes with a brief mention of the elimination method, which will be covered in the next video.

What is the main difference between the substitution method and the graphing method?

• Substitution is more visual.

• Graphing is more algebraic.

• Graphing is less accurate.

• Substitution is more algebraic.

When is it ideal to use the substitution method?

• When the equations are in standard form.

• When one variable is alone or can be easily isolated.

• When both equations are in slope-intercept form.

• When the equations are quadratic.

In the first example, what is the value of X?

• 0

• 10

• 2

• 5

What is the final value of Y in the first example?

• 2

• 0

• 5

• 10

In the second example, what is the value of X?

• 3

• 5

• 6

• 2

What is the final value of Y in the second example?

• 5

• 3

• 2

• 6

Why is substitution not the best method for the third example?

• Because neither variable is easily isolated.

• Because the equations are already solved.

• Because the equations are in slope-intercept form.

• Because the equations are quadratic.

In the third example, what is the value of X?

• 1

• 3

• 2

• 4

What does it mean if the final statement in a system of equations is false?

• There is one solution.

• There are infinite solutions.

• There is no solution.

• The solution is zero.

What does it mean if the final statement in a system of equations is true?

• There is one solution.

• There are infinite solutions.

• The solution is zero.

• There is no solution.