Solving Systems Algebraically

Solve using the most efficient method.

• (9,11)

• (-2,3)

• (3,-2)

Solve using the most efficient method.

• (4,-6)

• (2,10)

• (4,2)

Solve the system using elimination.
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

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

• (-1,2)

• (5,4)

• (4,5)

• (2,-1)

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

When solving a system of equations algebraically, which statement results in no solution?

• 4 = 7

• -2 = 2

• -3 = 3

• all of the above

Solve the system of equations
  4x+8y=20
-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

What is the best method to use?

4x + 8y = 20

−4x + 2y = −30

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form

Solve the following system of equations algebraically using Elimination Method.

• (1, 1)

• (3, 1)

• (-1, -1)

• (1, 3)

Solve the following system of equations algebraically using substitution method.

• (-1, 1)

• (1, -1)

• (0, 1)

• (1, 0)