Solve Linear Systems Using Elimination

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

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

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.

6x - 3y = 27

2x - 3y = 11

• (6, 3)

• (4, -1)

• (10, 3)

• Infinite Solutions

• No Solutions

x + y = 2

-3x + 4y = 15

• (5, -3)

• (-1, 3)

• (-5, 0)

• Infinite Solutions

• No Solutions

• (-7, -1)

• (1, 7)

• (-1, -7)

• (7, 1)

• (4, -2)

• (-2, 4)

• (2, 4)

• (2, -4)

• (-3, 2)

• (3, 2)

• (-2, 3)

• (2, -3)

• (1, 4)

• (4, 1)

• (1, -4)

• (-4, 1)

Solve the system by using elimination.

• (10, -1)

• (1, 10)

• (10, 15)

• (15, 10)

Solve the system by using elimination.

• (1, 4)

• (4, 1)

• (2, 4)

• (4, 2)