Introduction to Systems of Equations

If two lines in a system of equations are parallel, what can be said about the system?

• It has NO solution.

• It has exactly one solution.

• Not enough information.

What can we say about a system of equations where the lines intersect once?

• It has no solutions.

• It has at least one solution.

• It has exactly two solutions.

• It has infinitely many solutions.

What can we say for a system of equations that has no solution?

• They are Intersecting Lines.

• They are Parallel Lines.

• Nothing can be said.

• They are Perpendicular Lines.

Before you graph the system of equations, what format should the equations be in?

• It does not matter what format they're in.

What is the solution to the system of equations?

3x + y = 6

3x - y = 6

• ( 2 , 0 )

• (-2,0)

• (0,2)

• (0,-2)

Is (0,3) a solution to Line 1?

Line 1: 2x - y = -3

Line 2: -6x - 2y = -6

• True

• False

What is the solution to the system?

Line 1: 2x - y = -3

Line 2: -6x - 2y = -6

• (3,0)

• (-3,0)

• (0,3)

• (0,-3)

Is the ordered pair (-4,2) a solution to

Line 1: x + y = -2

Line 2: 3x - y = 2

• Line 1

• Line 2

• The system of equations.

Is the ordered pair (0,-2) a solution to Line 1: x + y = -2 Line 2: 3x - y = 2

• Line 1

• Line 2

• The system of equations.

Is the ordered pair (3,-6) a solution to

Line 1: x - y = 9

Line 2: 3x + 3y = 3

• Line 1

• Line 2

• The system of equations.