Solving Systems by Elimination Method

Select the coordinate point that is a solution to this system of equations using your method of choice.

If elimination is the method used to solve this system of equations, what is the result of the first step?

Reorder the following Solve by elimination -katex latex="-3x-8y=20"-katex -katex latex="-5x+y=19"-katex

• To eliminate, multiply the top equation by 3

• Now you can zero out the x's

• You now have a one step, divide by -16

• Take the y=-4 you got and plug in to get x

• After plugging in y, you must solve the 2 step to get (-4,-4)

Solve by elimination
-6x + 5y = 1
6x + 4y = -10

• (1,-1)

• (0,-1)

• (1,1)

• (-1,-1)

Solve the System using Elimination.
7x - y = -10
-7x + 5y = -6

• (-2, -4)

• (-2, -1)

• (-4, -1)

• (6, -8)

-8x - 7y = 10
-8x + 5y = 34
answers in (x,y)

• No Solution

• (-3, -10)

• (3, 2)

• (-3, 2)

Solve the system:

x + 6y = 17

-x + 3y = -8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

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 by elimination:

7x - 9y = 29

7x + 2y = - 15

• (-4,-1)

• (-1.-4)

• (-1,4)

• (-1,6)