Solving by Graphing Algebra 2

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

What is the solution?

• (2, 2)

• (3, 2)

• (3, 4)

• (2, 3)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

The solution to the system of equations by graphing is _____

Mathematical Equivalence

ON

Solve this system of equations by graphing. One of the lines is done for you.

y = 1/2x + 2

y = -3x + 9

Solve the system by graphing

Identify the nature of solution from the graph given.

• Consistent and unique solution

• Inconsistent : No solution

Solve the system by graphing.

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)