Systems of Equations Inspection Graphing

Systems of Equations

Match the following:

• Finding the solution of a system by where they intersect on a graph

• Solution of a system of linear equations

• any ordered pair that makes all equations in the system true

• Substitution

• Finding the solution of by replacing a variable in one equation for what the variable equals

• Inspection

• two or more linear equations that use the same variables

• System of linear equations

• Finding how many solutions there are just by looking at the equations in y=mx+b

• Graphing

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

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

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

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

• (3, -1)

• (-1, -3)

• (-1, -1)

• (-1, 3)

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

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

• Intersecting lines

• Identical lines

• Parallel lines

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

• Parallel lines

• the same line

• Intersecting lines

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

• Infinite Number of Solutions

• No Solution

• One Solution

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

• Infinite Number of Solutions

• No Solution

• One Solution