Systems of equations

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

• x = 5, y = 2

• (0, 0)

What are the three methods we learned to solve systems of equations?

• invention

• elimination

• distribution

• graphing

• substitution

Which of the following graphs best represents a system of equations that has no solution?

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Which graphed system of equations below has infinite solutions?

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Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

• (6, 3)

• (1, 2)

• (3, 6)

• (2, 1)

What ordered pair is a solution of 2y - 3x = 8

• (6,13)
• (19, 4)
• (10,4)
• (4,0)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

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

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing