Solving Linear Equations with the Substitution Method

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

• Add the equations together

• Multiply both equations by a common factor

• Graph the equations

• Solve one of the equations for x or y

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

• Add the equations together

• Substitute the expression into the other equation

• Graph the solution

• Check the solution by plugging it back into the original equations

In Example 1, what is the value of x when solving the system y = 6x and 2x + 3y = -20?

• x = 1

• x = -1

• x = 0

• x = 2

In Example 1, what is the final solution to the system of equations?

• (-1, -6)

• (-1, 6)

• (1, 6)

• (0, 0)

In Example 2, what is the value of x when solving the system y = 2x - 2 and y = x + 2?

• x = 4

• x = -2

• x = -4

• x = 2

In Example 2, what is the final solution to the system of equations?

• (4, 2)

• (0, 2)

• (4, 6)

• (2, 4)

In Example 3, what does it mean when the system of equations results in a false statement like -1 = 4?

• There are infinite solutions

• The equations are dependent

• The solution is zero

• There is no solution

In Example 4, what is the final solution to the system of equations 8x - y = -6 and 2x - 3y = 4?

• (-1, -2)

• (-1, 2)

• (1, 2)

• (0, 0)

In Example 5, what does it mean when the system of equations results in a true statement like 12 = 12?

• The solution is zero

• There are infinite solutions

• The equations are dependent

• There is no solution

In Example 6, what is the final solution to the system of equations with decimals?

• (6, -1)

• (-1, 6)

• (-6, 1)

• (1, -6)