Solving Systems

Solution or Not?

100

is (3,6) a solution to this system:

x+3=y

9x-3y=6

this is not a solution

200

Is (2,9) a solution to this system:

3x+3=y

x+2y=20

This is a solution

300

Is (5,9) a solution to this system:

       y=x+4

       6x+y=10

This is not a solution.

400

is (7,12) a solution to this system:

y=x+5

3x+y=30

This is not a solution.

500

Is (0,2) a solution to this system:

y=2x+2

2y+3x=4

This is a solution.

Find the solution

100

Find the solution:

y=4x-36

3x+5y=27

(9,0)

200

Find the solution:

4x+(-8)=y

x+y=12

(4,8)

300

find the solution:

3x+4y=24

y=2x-5

(4,3)

400

Find the solution:

y=2x-7

5x+2y=58

(8,9)

500

Find the solution:

     y=3x-6

     5x+3y=-10

(1,-3)

Vocab

100

Below which technique is being used to solve a system?

graphically

200

Below which technique is being used to solve a system? 

Elimination

300

Below which technique is being used to solve a system?

Plug (2,4) into both equations to determine which it is a solution for:         y=6x-8

                           x+4y=18        

substitution

400

A point ( x,y ) is a ____ to a system if it makes all equations of the system true.

Solution

500

when solving systems graphically what is the point that indicates the solution called?

intersection