Solving Systems of Equations with the Substitution Method

What is a system of equations?

• A mathematical expression without variables

• A set of two or more equations with the same variables

• A single equation with one variable

• A set of two or more equations with different variables

What does the substitution method help to achieve in solving systems of equations?

• Graphical representation of equations

• Visualization of variable relationships

• Algebraic solution without graphing

• Numerical approximation of solutions

In the first example, what is the value of 'x' when solved using the substitution method?

• 5

• 3

• 6

• 2

What is the value of 'y' in the first example after finding 'x'?

• 18

• 15

• 12

• 10

In the second example, what is the value of 'x' after solving the equations?

• 0

• 1

• 2

• 3

What does 'y' equal in the second example after substituting 'x'?

• 5

• 4

• 3

• 2

In the third example, what is the final value of 'x' found using the substitution method?

• 3

• 1

• 2

• 4

After solving for 'x', what is the value of 'y' in the third example?

• 18

• 16

• 14

• 12

What is the main advantage of using the substitution method over graphing?

• It is faster and requires less calculation

• It provides a more accurate graphical representation

• It only works with linear equations

• It allows algebraic solutions without needing to graph

Which of the following points is a solution to the system in the third example?

• (3, 16)

• (3, 14)

• (3, 12)

• (3, 18)