Solving Systems of Equations

Solve By Graphing

100

y = 1/3 x + 4

y = -1/3 x +2

What is (-3,3)

200

y = -1

y = -5/4 x +4

What is (4,-1)

300

y = 5x-2

y = -x+2

What is (-1,3)

400

-4x-y =-4

y = -3x+5

What is (-1,8)

500

x-2y=-8

3x+y=-3

What is (-2,3)

Solve By Substitution

100

y=x

y =2x+2

What is (-2,-2)

200

y = x+1

y = 4x-5

What is (2,3)

300

4x-2y=4

y=4x+2

What is (-2,-6)

400

y = -6x-3

6x-5y=-21

What is (-1,3)

500

x-3y=9

x+y =1

What is (3,-2)

Solve By Elimination

100

x+y =-2

x-y = -4

What is (-3,1)

200

4x+5y=22

-6x+5y =-8

What is (3,2)

300

10x +7y =-3

8x+7y =-15

What is (6, 9)

400

-3x-3y = -9

5x+12y =-13

What is (7,-4)

500

10x + 20y =20

16x+32y=16

What is no solution?

Vocubulary

100

What is the Solution of a System of Equations?

The point where the two lines intersect

The x and y value that makes both equations true

200

How do we write the solution of a system of equations?

As an ordered pair. (x,y).

Or x = # and y=#

300

What is the first step for solving a system of equations by substitution.

Solve one equation for one of the variables.

Isolate the one variable

400

Get both equations in standard form.

Line up the x's and y's on the same side.

What is the step for solving a system of equations by elimination?

500

When does a system of equations have no solution?

When you graph the lines and they are parallel (never cross).