Solving Systems by Graphing and Substitution Review

• (2, -3)

• (3, 2)

• (-3, -2)

• (-2, -3)

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the system by substitution.

x + 2y = 2

x = -4y + 2

• (-3, 0)

• (0, 2)

• (-3, -2)

• (2, 0)

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

The first step in solving a system of equations using the SUBSTITUTION METHOD is __________.

(Read all the answers before choosing one.)

• get x by itself

• get y by itself

• get EITHER x or y by itself

• add the equations together

Which answer has a correct next step for this system? (Read all three answers carefully before selecting one!)

• The variable is already isolated, so we've already solved the system.

• The variable is already isolated for y, so we substitute it in the second equation like this:

  2(6x) + 5y = 32

• The variable is already isolated for y, so we substitute it in the second equation like this:

  2x + 5(6x) = 32

Use the system of equations below to answer the question. After substituting the first equation into the second one and working it out, I got x = 1. What should I do next? y = 6x 2x + 5y = 32

• Fill in 1 for x in y = 6x

• Fill in 1 for y in y = 6x

• Fill in 1 for y in 2x + 5y = 32

Which answer has a correct next step for this system? (Read all three answers carefully before selecting one!)

• The variable is already isolated, so we've already solved the system.

• The variable is already isolated for y, so we substitute 3x + 5 in the first equation like this:

  3x + 4(3x + 5) = 3

• The variable is already isolated for y, so we substitute 3x + 5 in the second equation like this:

  3(3x + 5) + 4y = 3

What is the solution to this system? (Use the substitution method.) 8x - 2y = 6 y = 3x

• (3, 9)

• (5, 2)

• (2, 3)

• (3, 2)

Solve the system of equations by using the Substitution Method.

y = 2x - 4

7x - 2y = 5

• (-1, -6)

• (-1, -8)

• (-2, 6)

• (1, -8),