Solve Linear Equations with One Solution, No Solution, or Infinitely Many Solutions

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

This system has _____ solutions.

• 0

• 1

• 2

• Infinitely many

Solve the following system:
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Solve the following system by graphing.  What is the solution?

• (3, -2)

• (3, -3)

• (-3, 2)

• (-3, -3)