Solving Systems of Equations All Three Methods

The ordered pair that satisfies (makes them true) all equations in the system is a called a ________________.

• system of equations

• function

• graph

• solution of a system

The first step in solving using the substitution method is __________.

• get x by itself

• get y by itself

• get either variable by itself

• add the equations together

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

• X because they have opposite signs

• Y because they have opposite signs

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1

• -1

• 3

• 4

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

• solution of a system

• elimination method

• system of equations

• table

Write the solution to this system of equations as a coordinate pair, (x,y) with no spaces

7x + 2y = -5

-7x + 5y = 12

Solve the system:

x+y=5

-3x-3y=2

• (-1,4)

• (0,0)

• All Real Numbers

• No Solution

Solve the system:

2x+y= -1

-4x+6y=42

Solve the system:

2x+3y=1

-x+y= -3

What are the three methods we learned to solve systems of equations?

• invention

• elimination

• distribution

• graphing

• substitution