Solving Linear Systems with Substitution Techniques

What is the main topic of today's lesson?

• Solving quadratic equations

• Factoring polynomials

• Graphing linear equations

• Solving linear systems using substitution

What is the first step in solving a system of linear equations using substitution?

• Combine like terms

• Solve one of the equations for one of the variables

• Check the solution in both equations

• Substitute the expression from one equation into the other

In the substitution method, what do you do after solving one equation for one variable?

• Graph the equations

• Check the solution

• Combine like terms

• Substitute the expression into the other equation

In Example 1, what is the value of x?

• 7

• 1

• 5

• 2

In Example 1, what is the ordered pair solution?

• (2, 7)

• (1, 7)

• (3, 10)

• (1, 5)

In Example 2, what is the value of y?

• 7

• 4

• 5

• 6

In Example 2, what is the ordered pair solution?

• (4, 5)

• (-4, 5)

• (5, -4)

• (5, 4)

In Example 3, what is the value of y?

• 1

• 2

• 3

• 4

What does it mean if both variables cancel out and you are left with a true numerical statement?

• Cannot be determined

• Infinitely many solutions

• One solution

• No solution

What does it mean if both variables cancel out and you are left with a false numerical statement?

• One solution

• No solution

• Cannot be determined

• Infinitely many solutions