Solving System Graphing

When using any of the 3 methods to solve a system of linear equations the resulting solution is the same no matter which method is used.

• True; using any method will result in the correct solution.

• False; the solution varies because the solution depends on which method is used.

Solve the system of equations.
2x − 3y = −1
 y = x − 1

• (-2,-3)

• (0,-1)

• (3,4)

• (4,3)

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Identify the solution to the system using the graph.

• (0,0)

• (1,1)

• (2,2)

• (3,3)

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

What is the solution to a system of equations?

• The point that the equations have in common.

• The point where the two lines intersect. 

• All of the above. 

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

• Intersecting lines

• Same line

• Parallel lines