Solve the System of Linear Equations by Inspection

Jane is practicing solving systems of equations by inspection. She thinks that y = 5/6x + 2 and y = 5/6x – 2 would have exactly one solution. Is she correct? Why or why not?

What is the Solution to this system?

• (2,-2)

• (-2,2)

• All Real Numbers

• No Solution

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

y = x - 2
-2x + 3y = -1

• (5, -3)

• (5, 3)

• (-5, -3)

• (-5, 3)

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Solve by inspection

y= ¾ x + 5

y= ¾ x + 2

• No Solution

• One Solution

• Infinitely Many Solutions

solve by inspection

y= ¾ x + 5

y= -¾ x + 5

• No Solution

• One Solution

• Infinitely Many Solutions