Solving Systems Of Equations Using 3 Methods

Friendly study reminder: What you put into learning impacts...

• ...what you get out.

• ...your grades.

• ...the habits of others around you.

• All of the options are true!

"Solving Systems of Equations" means:

• Finding a point (or points) where lines cross.

• Solving for x.

• Solving for y.

• Making equations balanced.

A "system of equations" will have no solution if the two lines are ...

• ...perpendicular (cross at 90 degree angles)

• ...on top of each other.

• ...parallel and not touching.

• ...dotted.

A "system of equations" will have all real numbers as a solution if the lines are...

• ...perpendicular (cross at 90 degree angles)

• ...on top of each other.

• ...parallel and not touching.

• ...dotted.

A "system of equations" will have exactly one solution if the lines are:

• ...perpendicular (cross at 90 degree angles)

• ...on top of each other.

• ...parallel and not touching.

• ...dotted.

We learned 3 methods for solving systems of equations. They are:

• Graphing, Substitution, and Elimination

• Larry, Mo, and Curley

• Graphing, Solving, and Additive Inverse

• Transitive, Commutative, and Associative

What is the solution to this system of equations?

• $y=3x+3$

• $y=-x-5$

• (-2, -3)

• (0,3)

What is the solution to this system of equations?

• $y=3x+3$

• $y=-x-5$

• (-2, -3)

• (0,3)

If two lines have the same slope and different y-intercepts, then the solution for the system of equations is:

• one point

• all solutions

• (0, 0)

• no solution

If two lines have the different slopes, then the solution to the system of equations is:

• one point

• all solutions

• (0, 0)

• no solution