# Jeopardy Systems of Equations

### By: Caroline Ferree

## Solving by Subsitution

## Solving by Elimination

## Solving Word Problems

## Writing a System

## When is it best to use each system?

It is best to use elimination when the problem is well dressed (meaning the numbers already cancel out). For example if your systems of equations is -3x+8y=9 and 3x+10=-3 that is best for elimination because the X values already cancel out.

It is best to use substitution when you already given the equations for one of the variables. For example if you are given 8y + 7x = 20 and x=78 it is easy cause you can plug x in to the first equation to find the answer.

It is best too write a system if you are given a word problem but not equations. This will help you find your answer in a non-confusing way. For example the problem "A piggy bank consists of 130 nickels and pennies. The total value of the coins is $5.10. How many of each were in the piggy bank?" is best fit for writing a system because it does not have one.

It is best to use graphing when the equations are in slope intercept form. Slope-intercept form is easy to graph. For example if your equations are y= 1/5x + 6 and y=6x+8 then this method is best

It is best to use substitution when you already given the equations for one of the variables. For example if you are given 8y + 7x = 20 and x=78 it is easy cause you can plug x in to the first equation to find the answer.

It is best too write a system if you are given a word problem but not equations. This will help you find your answer in a non-confusing way. For example the problem "A piggy bank consists of 130 nickels and pennies. The total value of the coins is $5.10. How many of each were in the piggy bank?" is best fit for writing a system because it does not have one.

It is best to use graphing when the equations are in slope intercept form. Slope-intercept form is easy to graph. For example if your equations are y= 1/5x + 6 and y=6x+8 then this method is best

## What are the three different types of solutions that can arise when solving a System of Equations?

The three different types of solutions that can arise when solving a System of Equations is one solution (having one definite solution), having no solution (no answer can satisfy both equations), and infinite solutions (every number will satisfy this equation).

Examples of one solution- (4,5) (6,19) (20,2) (67,10000) (1,2)

Examples of no solution- 5=6 7=8 67=2

Examples of infinite solutions- 0=0 9=9 1000=1000

Examples of one solution- (4,5) (6,19) (20,2) (67,10000) (1,2)

Examples of no solution- 5=6 7=8 67=2

Examples of infinite solutions- 0=0 9=9 1000=1000