Solving Systems of Equations by Graphing

Solve the system of equations by graphing:
y= 2/3x - 1
y = -x + 4

• (1, 3)
• (3, 1)
• (-1, 3)
• (3, -1)

Solve the system of equations by graphing:
2x - 6y = 30
y = 1/3x + 1

• No Solution ∅
• Infinite Solutions ∞
• (2, 3)
• (3, 2)

Tags

CCSS.8.EE.C.8B

Solve the system of equations by graphing:
x - y = 1
y = 5

• (-6, 5)
• (-5, 6)
• (5, 6)
• (6, 5)

Solve the system of equations by graphing:
6x + 3y = 54
2x + y = 18

• No Solution ∅
• (3, 5)
• Infinite Solutions ∞
• (2, 4)

If a system of linear equations has one solution, what does this mean about the two lines?

• The lines are parallel.
• The lines intersect.
• The lines are exactly the same.

If a system of linear equations has no solution, what does this mean about the two lines?

• The lines are exactly the same.
• The lines intersect.
• The lines are parallel.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• The lines are exactly the same.
• The lines are parallel.
• The lines intersect.