Unit 5 - Systems (Elimination and Substitution)

Adding Fractions

100

2/5+2/5=

4/5

200

1/1+1/1=

2/1=2

300

1+3/5=

8/5

400

3+2/6=

20/6

500

4-3/7=

25/7

Simplifying Equations

100

Simplify: -x+y=2

y=2+x

200

Simplify: x+y=7

y=7-x

300

Simplify: 2x+y=4

y=4-2x

400

Simplify: 3x+3y=6

y=2-x

500

Simplify: 4x-y=8

y=-8+4x

Elimination

100

x-y=0

x+y=0

(0,0)

200

3x+y=-8

6x-y=-1

(-1,-5)

300

8x+2y=30

-7x-2y=-24

(6,-9)

400

-8x-y=-7

y+9x=7

(0,7)

500

-2x-9y=-25

9y+4x=23

(-1,3)

Substitution

100

y=x+1

y=0

(-1,0)

200

y=4

y=3x+7

(-1,4)

300

y=3x

y=-4x+7

(1,3)

400

y=-2x-2

-8x-8y=0

(-2,2)

500

y=2x-15

-10x+2y=0

(-5,-25)

Perpendicular Slopes

100

Slopes of perpendicular lines are __________ and __________?

Opposite and Reciprocal

200

What is the slope of a line perpendicular to y=3x+1 ?

-1/3

300

What is the slope of a line perpendicular to 

y=-5/6x+7/3 ?

6/5

400

Find the equation of a line perpendicular to y=4x+1.

y=-1/4x+#

500

Find the equation of a line perpendicular to y=-x+3 that goes through the point (0,15).

y=x+15