Systems of Equations Strategy

Use ANY strategy to solve this system of equations.

• (-1,-1)

• (1, 1)

• (0, -1)

• (-1, 0)

Solve the following system using the substitution strategy.
 -7x - 2y = -13
X = 2y + 11

• (5,6)

• (3,-4)

• (-4, 4)

• (-3, -4)

The first step in solving using the substitution method is __________.

• get x by itself

• get y by itself

• get either variable by itself

• add the equations together

y = -6x + 5
-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

The equations of two lines are:
 2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

• x=8

• x=3

• x=11

• x=5

In 3x + 2y = 10    and    x - 5y = 18, which variable should you isolate first?

• The x in the first equation

• The y in the first equation

• The x in the first equation

• The x in the second equation

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x

  y = 8.40 + x

• y = 9.65x + 43

  y = 8.40x + 58

• y = 9.65x

  y = 8.40x

• y = 9.65x - 43

  y = 8.40x - 58

Define the variables, set up a system of equations and solve using the substitution method.

• 4 cm by 13 cm

• 6 cm by 11 cm

• 9 cm by 5 cm

• 8 cm by 7 cm

3x + 2y = 8
-x + y = -11

• (-5,6)

• (6,-11)

• (-6,-5)

• (6,-5)