Solving Systems of Equations

Substitution

100

y = x - 1

y = -x + 3

(2, 1)

200

y = 4x + 6

y = -5x - 21

(-3, -6)

300

y = 4x

y = 5x + 7

(-7, -28)

400

-2x + y = 4

3x + y = -1

(-1, 2)

Elimination (+)

100

-2x + y = 10

4x - y = -14

(-2, 6)

200

7x - 5y = -24

-9x + 5y = 18

(3, 9)

300

3x + y = -14

-2x - y = 9

(-5, 1)

400

7x - y = -10

-7x + 5y = -6

(-2, -4)

Elimination (-)

100

3x + 7y = 14

2x + 7y = 21

(-7, 5)

200

-6x + 6y = 6

-6x + 3y = -12

(5, 6)

300

-2x - 9y = -25

-4x - 9y = -23

(-1, 3)

400

7x + 2y = 24

8x + 2y = 30

(6, -9)

Elimination (Scale)

100

2x - 8y = 16

4x - 3y = 19

(4, -1)

200

5x + 6y = -8

2x + 3y = -5

(2, -3)

300

-5x - y = -9

10x - 7y = 18

(1, 4)

400

-4x + 9y = 9

x - 3y = -6

(9, 5)