Systems: Elimination

Systems: Elimination

Algebra 2 - Ms. Ray

• Uses ADDITION

• Opposite coefficients

  • manipulate by multiplication

• Ordered pair solutions

What is Elimination?

Multiple Choice

What operation is used to ELIMINATE a variable?

• addition

• subtraction

• multiplication

• division

Multiple Choice

The coefficients of the eliminated variable must be _____.

• oppoistes

• the same

• distinct

• does not matter

Multiple Choice

When solving for $$y$$ , the coefficients of __ need to be opposites.

• $$x$$

• $$y$$

• $$x$$ and $$y$$

Multiple Choice

When solving for $$x$$ , the coefficients of __ need to be opposites.

• $$x$$

• $$y$$

• $$x$$ and $$y$$

Multiple Choice

What operation is used to manipulate equation to have OPPOSITE coefficients?

• addition

• subtraction

• multiplication

• division

• Which variable to eliminate

• Multiply by what constant

• Ordered pair solutions

• Type of system

Elimination

Multiple Choice

Manipulate equations so that like terms are ____.

• aligned horizontally

• aligned verifcally

• whatever looks the best

Multiple Select

Look for ____ when determining which variable to eliminate.

• opposite signs

• easy numbers to multiply to (common factors)

• same coefficients

• vertical alignment of like terms

Multiple Choice

To get opposite coefficients, multiply ____.

• left side of =

• right side of =

• only the coefficients eliminating

• everything

Multiple Choice

To find the second variable, substitute into ____.

• an original equation

• a manipulated equation

• the top equation, always

• whatever is the easiest

• Dependent & Inconsistent system

• Solutions in terms of variables

• Manipulate to align terms

Elimination

Reorder

Order the algorithm (steps) to elimination

• Align like terms vertically

• Determine the variable to eliminate

• multiply equation(s) to have opposite coefficients

• add vertically

• Solve for variable

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

• More examples

• All types of systems

• Manipulation to align terms

Elimination