Solving Systems of Equations Through Inspection

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

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

• No Solution

• One Solution

• Infinitely Many Solutions

Which is a true statement about the system of equations graphed below?

• The system of equations does not have a solution because

  the lines do not intersect.

• The system of equations has one solution, although it is not

  visible on the graph.

• The system of equations has an infinite number of solutions.

• None of the statements above are true.

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Select all equations that are represented in this diagram.

• 
• 
• 
• 
• 

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)