Solving Linear Systems with Substitution Method

What is the substitution method primarily used for?

• Solving quadratic equations

• Calculating the derivative of a function

• Finding the area of a triangle

• Solving linear systems of equations

In the first example, what is the value of x when y is substituted?

• -4

• -2

• 2

• 4

After finding x = -2 in the first example, which equation is used to find y?

• The equation with fewer negative numbers

• The equation with more variables

• The equation with a higher degree

• The equation with a constant term

What is the solution to the system of equations in the first example?

• (-2, 4)

• (-2, -4)

• (2, -4)

• (2, 4)

In the second example, what is the value of y when x = 2?

• -1

• 1

• 0

• 3

Why is the bottom equation chosen to substitute x in the second example?

• It has fewer variables

• It is already solved for y

• It contains a constant term

• It has a higher degree

What is the solution to the system of equations in the second example?

• (2, 1)

• (1, 2)

• (-1, -2)

• (-2, -1)

What does a true statement like '3 = 3' indicate in solving linear systems?

• Infinite solutions

• A unique solution

• No solutions

• An error in calculation

What does a false statement like '3 = 0' indicate in solving linear systems?

• An error in calculation

• A unique solution

• Infinite solutions

• No solutions

What is the main advantage of using the substitution method?

• It provides a visual representation

• It works for all types of equations

• It is faster than graphing

• It simplifies the equations