Solving Systems of Equations Using Elimination Method and Substitution Method

Solve the system:
x + y = 19
y = 3x - 1

• (14, 5)

• (11, 8)

• (5, 14)

• (8, 11)

Which method would be best (quickest) for solving the system below:
3x - 4y = -2
y = 2x + 1

• Substitution

• Elimination

• Graphing

• None

Solve the system:
2x - 5y = 12
y = -2

• y = -2

• (11, -2)

• (1, -2)

• no solution

7x - y = -10
-7x + 5y = -6

• (-2, -4)

• (-2, -1)

• (-4, -1)

• (6, -8)

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

• 5q + 2z = 1.32
  1z = 0.75

• 5q + 2z = 1.32
  3q + 1z = 0.75

• q + z = 1.32
  q + z = 0.75

• 5q + 2z = 0.75
  3q + 1z = 1.32

Solve by elimination
-2x + 6y = 16
-4x - 3y = 2

• (2,2)

• (-2, -2)

• (-2,2)

• (2,1)

 4x + 8y = 20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve by elimination:
7x+y=-9

-3x-y=5

• No solution

• (1,8)

• (-2,-3)

• (-1,-2)

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE

• FALSE

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)