Solving Systems of Equations by Adding and Subtracting

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

 4x + 8y =  20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve using elimination.
7x + 2y = 24
8x + 2y = 30

• (6,-9)

• (-9,6)

• No solution

• Infinite number of solutions

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

5x - y = 12

3x + y = 4

which variable should be "eliminated" first?

• x

• y

You solve the system of equations by adding and subtracting (elimination) and you get 0=0

How many solutions are there?

• no solution

• one solution

• infinite solutions

Answer explanation

You solve the system of equations by adding and subtracting (elimination) and you get 0=6

How many solutions are there?

• no solution

• one solution

• infinite solutions

Answer explanation

You solve the system of equations by adding and subtracting (elimination) and you get 6=6

How many solutions are there?

• no solution

• one solution

• infinite solutions

Answer explanation

You solve the system of equations by adding and subtracting (elimination) and you get 6=2

How many solutions are there?

• no solution

• one solution

• infinite solutions

Answer explanation

You solve the system of equations by adding and subtracting (elimination) and you get the point (5, -6).

How many solutions are there?

• no solution

• one solution

• infinite solutions

Answer explanation