Systems of Equations

Is it True?

100

Is (2, -2) The solution to the system? 

3x + y = 4

x - 3y = -4

No

200

Is (3, -1) The Solution to the system?

x - 2y = 5

2x - y = 7

Yes

300

Is (-1, 5) The solution to the system?

-x + y = 6

2x + 3y = 13

Yes

400

The system y = x - 1 and -x + y = 2 has no solution. True or False?

True

500

The system y = 2x + 1 and 3x - y = 1 has many solutions.

False

Graph it!

100

y = x - 3

y = -x - 1

(1, -2)

200

y = 2x - 1

y = -x + 5

(2, 3)

300

x + y = 0

y = -1/2 x + 1

(-2, 2)

400

y = 1/3 x - 3

2x + y = 4

(3, -2)

500

- 1 = 2x + y

x + y =3

(-4, 7)

Substitution

100

y = x + 3

y = 2x + 5

( - 2, 1)

200

x = 2y - 4

x + 8y = 16

(0, 2)

300

y = x + 5

4x + y = 20

(3, 8)

400

y = -3x + 2

3x + y = 6

No Solution

500

4x = y - 1

6x - 2y = -3

(.5 , 3)

Elimination Nation

100

2x + 5y = -24

3x - 5y = 14

(-2, -4)

200

x - 10y = 60

x + 14y = 12

(40, -2)

300

2x + 3y = 12

5x - y = 13

(3, 2)

400

2x + 4y = -4

3x + 5y = -3

(4, -3)

500

5x + 2y = -1 

3x + 7y = 11

(-1, 2)

You choose or you lose

100

- x + y = 5

x - 5y = -9

(-4, 1)

200

y = 1/2 x

x + 16.5 = -3/4 y

(-12, -6)

300

-7x + y = -2

2 + y = 7x

Many Solutions

400

- 6 + y = 2x

y = 2x - 36

No Solution

500

2x + 5y = 8

3x - 2y = 5

(41/19 , 14/19)