System of linear equations and inequalties

Graphing system of equations

100

Y=x+1

Y=-x+3

The correct answer is (1, 2)

200

Y=2x-1

Y=-x+5

The correct answer is (2,3)

300

Y=-2x+6

Y=x

The correct answer is (2, 2)

400

2x-y=4

x+y=1

The correct answer is (0, 1)

500

3x+2y=12

2x-y=1

The correct answer is (2, 3)

Substitution

100

Y=2x

x+y=6

x=2, y=4

200

Y=3x+1

2x+y=13

x=3, y=10

300

X=y-2

2x+y=10

x=2, y=4

400

y=4x-7

5x+2y=4

x=2,y=1

500

X=y-3

3x+2y=12

x=2, y=5

Elimination(Addition,Subtraction)

100

X+y=10

x-y=2

X=6, y=4

200

2x+y=7

-2x+y=1

x=1, y=5

300

3x+2y=16

3x-2y=8

x=4, y=2

400

4x+y=11

2x-y=1

X=2, y=3

500

5x-3y=11

-7x+2y=-5

x=3, y=2

system of inequalities

100

Y>x

y<x+3

The points above y=x

The points below y=x+3

200

y < -x + 4

y ≥ x - 2

(1,2)

300

y ≤ 2x + 1

y > -x + 3

(1,3)

400

y < -2x + 6

y > x - 3

(1,2)

500

y ≥ -x

y < 3x - 2

(1,1)

Elimination(Multiplication)

100

X+y=6

2x-y=4

x=2,y=5

200

3x+2y=16

5x-2y=4

x=2,y=5

300

2x+3y=11

4x-3y=1

x=2,y=2

400

5x+2y=14

3x-4y=-2

X=2, y=2

500

4x+3y=17

5x-2y=4

X=3, y=1