Solve by Graphing
Solve by Substitution
Solve by Elimination
Is the Solution Correct?
100

By graphing, the solution to the system

y = x

y = -x

(0,0)

100

The solution to the system

x + y = 2

y = 3

What is (-1,3) ?

100

The solution to the system 

x + 5y = 12 

-x +y = 0

(2,2)

100

Is (4,5) the solution to the following system? 

4x - y = 12 

x + 6y = 13

No.

200

By graphing, the solution to the system

y = 3x - 4

y = -3x + 2

(1,-1)

200

2y - x = 4

10y - x = 20

What is (4,2) ?

200

The solution to the system

-4x - 2y = -12

4x + 8y = -24

(6,-6)

200

Is (0,-4) the solution to the system 

y = -20x + 1 

20x + y = 6

No.

300

By graphing, the solution to the system

y = (1/3)x + 2

y = -x - 2

(-3,1)

300

The solution to the system

y = 6x - 11

-2x - 3y = -7

What is (2,1) ?

300

The solution to the system

5x + y = 9

10x - 7y = -18

(1,4)

300

Is (-2,1) a solution to the system 

6x - 3y = -15 

2x + y = -3

Yes!

400

By graphing, the solution to the system

y = -(3/2)x - 4

y = (1/2)x + 4

(-4,2)

400

The solution to the system

-3x + 3y = 4

-x + y = 3

What is no solution?

400

The solution to the system

-5x - 8y = 17

2x - 7y = -17

What is (-5,1) ?

400

Is "No solution" the solution to the following system 

y = 3x + 4 

y = -x - 4

No (not parallel).

500

By graphing, the solution to the system

y = (5/4)x - 2

y = (5/4)x -1

What is no solution?

500

The solution to the system

-4x + 9y = 9

x = 3y - 6

(9,5)

500

The solution to the system

2x + 8y = 6

-5x - 20y = -15

What is infinite number of solutions?

500

Is (-3,-1) the solution to 

y=(4/3)x + 3 

(2/3)x + y = -3

Yes!