Show:
Solving Systems by Graphing
Solving Systems by Substitution
Solving Systems by Elimination
How many solutions?
Vocabulary
300

MANUALLY GRAPH TO SOLVE THE SYSTEM:

y = -5

x = 7


(7,-5)

300

Solve the following System of Equations using Substitution:

-2x-y=-9

5x-2y=18

(4,1)

300

Solve the following System of Equations using Elimination:

5x+4y=-30

3x-9y=-18

(-6,0)

300


y=2x+3

-4x+2y=6

What is All Real Numbers?

300
Consistent

A solution exists

700

MANUALLY GRAPH TO SOLVE THE SYSTEM:

y = x-2

x+y = 10

(6,4)

700

Solve the following System of Equations using Substitution:

2x+y=20

6x-5y=12

(7,6)

700

Solve the following System of Equations using Elimination:

2x+8y=6

-5x-20y=-15

infinite number of solutions

700


x-y=5

y+3=2x

What is One?

700

Dependent

The same line/All Real Numbers
1000

USE YOUR CALCULATOR TO GRAPH TO SOLVE THE SYSTEM:

3x + 6y - 12 = 0

x + 2y = 8

no solution

1000

Solve the following System of Equations using Substitution:

2x+4y=12

x+y=2

(-2,4)

1000

Solve the following System of Equations using Elimination:

8x+14y=4

-6x-7y=-10

(4,-2)

1000


y=5x-20

20x-4y=80

What is All Real Numbers?

1000

Elimination

Eliminate a variable using addition of equations in a system

1500

USE YOUR CALCULATOR TO GRAPH TO SOLVE THE SYSTEM:

y = -2x + 6

x - 3y = -6

(1.71, 2.57)

1500

Solve the following System of Equations using Substitution:

-3x+3y=4

-x+y=3

no solution

1500

Solve the following System of Equations using Elimination:

-2x-9y=-25

-4x-9y=-23

(-1,3)

1500


y=5x

y=3x+8

What is One?

1500

Substitution

Find y= or x= and plug in to the other equation.

2000

MANUALLY GRAPH TO SOLVE THE SYSTEM:

y=3x-9

x+2y = 10

(4,3)

2000

Solve the following System of Equations using Substitution:

y=5x-7

-3x-2y=-12

(2,3)

2000

Solve the following System of Equations using Elimination:

2m=-4n-4

3m+5n=-3


(4,-3)

2000


y=2x+5

-2x+y=3

What is No Solution?

2000

Define: No Solution and why.

What is parallel lines and no intersection.