Solving Systems of Linear Equations Using Elimination

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Solve by elimination
-6x+y= -2
-3x-6y= 12

• (2,0)

• no solution

• (0,-2)

• infinite solutions

What is the first step in solving a system of equations by elimination?

• Get both equations in standard form and line up the like terms.

• Get both equations in slope-intercept form.

• Get both equations equal to zero.

• Put the x terms first.

x + y = 2

-3x + 4y = 15

• (5, -3)

• (-1, 3)

• (-5, 0)

• Infinite Solutions

• No Solutions

• (-5, -9)

• (9, 5)

• (5, 9)

• (-9, -5)

• (4, -2)

• (-2, 4)

• (2, 4)

• (2, -4)

• (-7, -1)

• (1, 7)

• (-1, -7)

• (7, 1)

• (-3, 2)

• (3, 2)

• (-2, 3)

• (2, -3)

Solve the system by using elimination.

• (1, 4)

• (4, 1)

• (2, 4)

• (4, 2)

Solve the system by using elimination.

• (3, 5)

• (3, -5)

• (0, -4)

• (-4, -4)