Linear Systems

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing
• Systems by Substitution
• Systems by Elimination
• Systems by Drawing

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing
• Systems by Substitution
• Systems by Elimination
• Systems by Drawing

a solution to a system that results in one x value and one y value that will satisfy both equations 

• No Solution
• One Solution
• Infinite Solutions
• Beyond Solutions

a solution to a system that results in an unlimited amount of x values and an unlimited amount of y values that will satisfy both equations

• No Solution
• One Solution
• Infinite Solutions
• Beyond Solutions

Steffen 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?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

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. 

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

• Parallel lines
• Identical lines 
• Intersecting lines

Which region represents the solution to the following system of inequalities?
y ≤ x + 2
y ≤ -x+ + 4

• Region F
• Region G
• Region H
• Region J