System of Equation Review

System of Equation Review

Equal value

Substitution

Elimination

How do I know when to use which method?

• Remember, all methods work to solve for system of equations.

• Using one method may be EASIER than using another.

• Today, we will look at which methods we can use to solve each problem

• Equal Value, Substitution, Elimination

When is the best time to use Equal Value method?

When both equations are equal to each other

Multiple Choice

Pick the system of equation that would work best to solve with EQUAL VALUE METHOD:

EQUAL VALUE METHOD:

BOTH of the equations are equal to y.

They can also be equal to x.

Multiple Choice

Let's solve by using the EQUAL VALUE METHOD:

What is the solution (P.O.I) for the system of equations.

• (4/3, 1/3)

• (1/3, 4/3)

• (4,3)

When is the best time to use Substitution Method?

When only ONE equation is solved for y or x

Multiple Choice

Pick the system of equation that would work best to solve using SUBSTITUTION

SUBSTITUTION

• The first equation is equal to y

• It could also be equal to x

Multiple Choice

Let's solve by using the SUBSTITUTION METHOD:

What is the solution to the system of equations,

• (9,6)

• (6,9)

When is the best time to use Elimination method?

• When we can CANCEL one of the variables

• Opposites

• (-x,x) (2y, -2y)

Multiple Select

Pick the systems of equation that would work best to solve using Elimination method:

(select ALL that may apply)

ELLIMINATION

• 1st Scenario we can cancel (-5y and 5y)

• 2nd Scenario: we will have to multiple ONE variable to cancel (-5x times 3=15x)

• 3rd Scenario: we will have to multiple BOTH equations

Multiple Choice

What method would you use to solve this System of Equations?

• Equal Value Method

• Substitution Method

• Elimination Method

Multiple Choice

What method would you use to solve this System of Equations?

• Equal Value Method

• Substitution Method

• Elimination Method

Poll

How do you feel about system of equations?

• Great!!

• ehhh

• I need help