Solving Systems of Equations

Solve By Graphing

100

y = 1/3 x + 4

y = -1/3 x +2

(-3,3)

200

y = -1

y = -5/4 x +4

(4,-1)

300

y = 5x-2

y = -x+2

(-1,3)

400

-4x-y =-4

y = -3x+5

(-1,8)

500

x-2y=-8

3x+y=-3

(-2,3)

Solve By Substitution

100

y=x

y =2x+2

(-2,-2)

200

y = x+1

y = 4x-5

(2,3)

300

4x-2y=4

y=4x+2

(-2,-6)

400

y = -6x-3

6x-5y=-21

(-1,3)

500

x-3y =9 

x+y =1

(3,-2)

Solve By Elimination

100

x+y =-2

x-y = -4

(-3,1)

200

4x+5y=22

-6x+5y =-8

(3,2)

300

10x +7y =-3

8x+7y =-15

(6, 9)

400

-3x-3y = -9

5x+12y =-13

(7,-4)

500

10x + 20y =20

16x+32y=16

No solution

Solve by Any Method

100

y = -x-2

y = 2x+1

(1,-3)

200

7x-7y =-7 

y = -6x +22

(3,4)

300

x + 10y =-28

-x -8y =24

(-8 ,-2)

400

The difference of two numbers is 4. Their sum is 16.

What are 10 and 6?

500

The sum of two numbers is 16. Their difference is 2.

What is 7 and 9

Vocubulary

100

What is a solution of a system of equations

The point where the two lines intersect

300

The first step for solving a system of equations by substitution.

What is solve one equation for one of the variables?

500

A system of equations has infinitely many solutions.

What happens when one equation is a multiple of the other equation in the system?