Systems of Equations

Solve by Substitution

100

x=7

2x+y=5

(7,-9)

200

y=3x

3y+9=6x

(-3,-9)

300

x=4y

2x+16y=12

(2, 1/2)

400

2x-3y=-4

x=7-3y

(1,2)

500

4y-x=4

y+x=6

(1,3)

Solve by Elimination

100

-x + 3y = 6

-2x + y = 12

(-4,4)

200

- 3x + 4y =12

-2x + 3y =3

(-24, -15)

300

y=x

y=-x

(0,0)

400

x- y= -7

-4x - y= -2

(-1,6)

500

3y- 4x=-2

y- 2x= -2

(2,2)

Solve by Graphing

100

y=-x+3

y=2x+0

(1,2)

200

y=-x-1

y=2x-10

(3,-4)

300

y=2x-5

y=-x+4

(3,1)

400

y=-x+3

y=3x-5

(2,1)

500

y=-1/2x+3

y=2x-2

(2,2)

All Solution or No solution

100

3x + 2y =10

3x +2y = 2

No solution

200

5x + 3y = 6

-5x -3y = 3

no solution

300

5x + y = -2

-10x - 2y = 4

all solutions 

400

6x + 2y = 3

6x + 2y = -5

no solution

500

6x + y = -2

12x + 2y = -6

no solution

Choose any method

100

2x+y=4

10x-y=8

(1,2)

200

y=3x-4

y=-x+4

(2,2)

300

4x+2y=16

x=2

(2,4)

400

15x-5y=30

y=2x+3

(9,21)

500

3x+y=4

5x-7y=11

(1.5, -.5)