6-1-6-3 review

Method best when...

100

Graphing method is best when...

When the equation is already in y=mx+b or can be easily put into y=mx+b

200

Substitution method is best when...

when one variable is already solve for-has coefficient of one

300

Elimination method is best when...

coefficients of one variable are same number and same sign or same number and opposite sign

400

Linear combination method is best when...

when all the coefficients are different numbers

Graphing method

100

y=3x-1

y=-2x+4

(1, 2)

200

y=(1/4)x-8

y=(-1/2)x-5

(4, -7)

300

y=5x-1

y=5x+4

no solution

400

6x+3y=12

y=-2x+4

infinite solution

substitution method

100

y=-2x+19

y=x+7

(4, 11)

200

2x+y=4

y=4x+1

(1/2, 3)

300

x+2y=8

x=-2y+8

infinite solutions

400

x+y=-4

2x+2y=6

no solution

elimination method

100

2x+7y=31

5x-7y=-45

(-2, 5)

200

5x+y=27

3x+y=17

(5, 2)

300

x+3y=9

x-3y=-3

(3, 2)

400

7x+16y=9

10x+16y=6

(-1, 1)

linear combination method

100

2x+5y=34

x+2y=14

(2, 6)

200

12x-9y=45

2x+3y=3

(3, -1)

300

5x-6y=48

2x+5y=-3

(6, -3)

400

-3x+8y=10

5x+6y=80

(10, 5)