Systems of Linear Equations

Graphing System of Equations

100

Solve the system of linear equations by graphing.

y=-2x+2

y=-x-1

(3,-4)

200

Solve the system of linear equations by graphing

y=-x+4

y=2x-8

(4,0)

300

Solve the system of linear equations by graphing.

-3x+5y=13

x+4y=-10

(-6,-1)

400

Solve the system of linear equations by graphing

4x - 4y = 4

4x - 4y = 16

No solution

500

Solve the system of linear equations by graphing

3y+4x=3

x+3y=-6

(3,-3)

Substitution

100

Solve the system of linear equations by substitution.

6x-9=y

y=-3x

(1,-3)

200

Solve the system of linear equations by substitution

y=2x-5

-x+y=2

(7,9)

300

Solve the system of linear equations by substitution

x+4y=6

-x-2y=-4

(2,1)

400

Solve the system of linear equations by substitution.

-5x+3y=51

y=10x-8

(3,22)

500

Solve the system of linear equations by substitution.

2x-y=23

x-9=-1

(8,-7)

Elimination

100

Solve the system of linear equations by elimination

9x+y=2

-4x-y=-17

(-3,29)

200

Solve the system of linear equations by elimination

-x+y=4

x+3y=4

(-2,2)

300

Solve the system of linear equations by elimination

10x-9y=46

-2x+3y=10

(19,16)

400

Solve the system of linear equations by elimination

-2x-5y=9

3x+11y=4

(-17,5)

500

Solve the system of linear equations by elimination

12x-7y=-2

8x+11y=30

(1,2)

Number of Solutions

100

Determine whether the system has one solution, no solution, or infinitely many solutions

y= 2x+1

y=3x-1

One Solution

200

Determine whether the system has one solution, no solution, or infinitely many solutions

y=x-4

y=x-2

No Solution

300

Solve the system of linear equations.

y=-6x+8

y=-6x+8

Infinitely Many Solutions

400

Determine whether the system has one solution, no solution, or infinitely many solutions

15x-5y=-20

-3x+y=4

Infinitely Many Solutions

500

Determine whether the system has one solution, no solution, or infinitely many solutions

3x-2y=-5

4x+5y=47

One solution

Random

100

Tell whether the ordered pair is a solution of the system of linear equations.

(8,2)

x-y=6

2x-10y=4

Not a Solution

200

Solve the equation for y (isolate y) 

3x+5y=25

y=-3/5x+5

300

Tell whether the ordered pair is a solution of the system of linear equations.

(-4,-2)

y=2x+6

y=-3x-14

Is a solution

400

Solve the equation for y

x-2y=0

y=1/2x

500

Which method would be best for solving this system of equations?

-3x+4y=18

6x+2y=-6

Answers will vary. 

Substitution- easy to isolate y in the second equation

Elimination - can easily multiply the first equation by two to make elimination possible