Review for Systems of Equations Substitution Method

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?

• 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

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

• (3, 9)

• (5, 2)

• (2, 3)

• (3, 2)

What is the best choice for solving the given system?

• Solve both equations for x.

• Plug in 4x-1 for y in the second equation.

• Plug in 4x-1 for x in the second equation.

• Plug in 2x-5 for x in the first equation.

Solve the system using the substitution method:

Solve for x and y (Use Substitution)

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

• (1,1)

Solve the system of equations using substitution:

-4x + 4y = 8

y = -2x - 10

• (-4, -2)

• (12, -34)

• (4, -18)

• (-2, -6)

• (-4, 6)

What is the solution to the system of linear equations:

-3x + y = -12 and 7x - 6y = 17 ?

Use Substitution Method

Read each step of the Substitution method for solving a System of Equations. Then, match the result of performing the step with the step.

• (2, 1)

• Step 2: Substitute the expression in the other equation

• y = 5 - 2x

• Step 1: Solve one equation's variable (expression)

• -3x + 6(5-2x) = 0

• Step 4: Substitute the variable's value in the other equation; solve

• x = 2

• Step 3: Solve the equation for a value

• 2(2) + y = 5

  y = 1

• Step 5: Present the solution as an ordered pair

Tags

CCSS.MATH.CONTENT.HSA.REI.C.6

CCSS.MATH.CONTENT.HSA.CED.A.3