Solving System - Elimination Method

Eliminate a Variable

100

2x-3y=10

x+3y=5

3x=15

200

4x+7y=4

-4x+3y=16

10y=20

300

4x+y=8

4x-y=0

8x=8

2y=8

400

3x+6y=18

2x+2y=8

-3x=-6

500

4x+5y=27

3x-6y=-9

39y=117

-39x=-117

Solve for One Variable

100

2x+4y=20

-x-4y=-16

x=4

200

17x+2y=61

14x-2y=32

x=3

300

3x-5y=-48

-3x+2y=12

y=12

400

4x+7y=39

2x-5y=11

y=1

500

3x+4y=7

11x+3y=14

x=1

y=1

Solve for Both Variables

100

14x+7y=77

-14x+3y=-27

x=3

y=5

200

11x-y=15

2x+y=11

x=2

y=7

300

6x-5y=15

-3x+4y=6

x=10

y=9

400

5x+15y=-115

3x+5y=-41

x=-2

y=-7

500

2x+3y=-7

5x-4y=17

x=1

y=-3