Elimination and Substitution Method

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Solve using Elimination Method:

4x+ 9y = 28

-4x -y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

Solve the system:

x + 6y = 17

-x + 3y = -8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

−4x − 4y = 0

4x + 4y = 0

• (−6, −4)

• Infinite number of solutions

• No Solution

• (6, 4)

• (0,0)

10. Solve the following system of equations: 5x - 4y = 3 and 2x + 3y = 8

• x = 4, y = 3

• x = 2, y = 1

• x = 3, y = 2

• x = 1, y = 5

what would the top equation become when you multiply everything by -1?

• 2x - 6y = 20

• -2x - 6y = -20

• -2x + 6y = 20

• -2x + 6y = -20

If 2x+3y = 12 and 3x-2y=5 then

• x = 2, y = 3

• x = 2, y = -3

• x = 3, y = 2

• x = 3, y = -2

What multiplier could you use on the either of the equation to make the y terms eliminate?

Mathematical Equivalence

ON

Using elimination, find the y-coordinate of the solution. Type the NUMBER ONLY in the space!

do you see a zero pair to eliminate?

2x - 6y = 20

2x + 5y = -11

• no

• yes