Systems of Equations Solve by Any Method

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

• corn: 146 acres; tomatoes: 123 acres; sunflowers: 61 acres

• corn: 152 acres; tomatoes: 112 acres; sunflowers: 56 acres

• corn: 117 acres; tomatoes: 98 acres; sunflowers: 42 acres

• corn: 134 acres; tomatoes: 114 acres; sunflowers: 84 acres

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

Solve the following system using any method.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the following system using any method.

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the following system using any method.

y=-x+4

y=2x+4

• (0,4)

• (2,4)

• (-1,3)

• (4,0)

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)

• (5,4)

• (4,5)

• (2,-1)

-4x - 6y = 6
4x + 6y = -4

• no solution

• (2,0)

• (-4,0)

• (0,0)

Solve the following system using any method.

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30