Solving systems of inequalities & equations_T2.3

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

• They are parallel lines

• They are the same line

• They are intersecting lines

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

• They are intersecting lines

• They are the same line

• They are parallel lines

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

• They are parallel lines

• They are the same line

• They are intersecting lines

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

What is the solution?

• No solution

• (0, 2)

• (0, -4)

• (3, -3)

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the system of equations using substitution:
y = 2x + 5
2x + 2y = 4

• (1, 7)

• (7, 1)

• (2, 9)

• (-1, 3)

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)