Solving Systems by Elimination Basic

x + 4y = –3
 x + 7y = –12 

• (-3,9)

• (9,-3)

• (3,9)

• (9,3)

What is the next step in solving this system by elimination?
2x + 3y = 9
5x + 3y = 21

• Nothing - it is ready to go.

• Multiply one equation by -1

• Multiply the top equation by 3.

• Multiply the bottom equation by 7.

4x +  8y = 20
-4x + 2y = -30
Which variable will be eliminated?

• The  x

• The  y

• The  z

• The unknown

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

• solution of a system

• elimination method

• system of equations

• table

What do you have to multiply the first equation by to have the x's be opposite and the same?

• 3

• 2

• -2

• -3

A system of two identical (overlapping) lines will have how many solutions?

• One Solution

• Two Solutions

• No Solution

• Infinite Solutions

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE

• FALSE

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

• (-4, -2)

• (2, 5)

• (10, 2)

• (-8, -1)

Which variable will eliminate in the system?

• x

• y

• both

• neither