7.1 Solving Systems of Equations by Graphing

Find the solution

100

How many solutions?

y = 3x - 2

y = 3x + 7

No Solution

200

How many solutions?

y = 5x + 2

y = -3x + 10

(1, 7)

300

How many solutions?

y = 5x + 8

-3x + y = -2

(-5, -17)

400

What type of solution?

y = 4x + 3

y = 4x + 3

Infinite Solutions

500

How many solutions?

x = 3y + 5

-2x + 5y = -12

(11, 2)

First step

100

What would be the first step in solving this system by substitution?

y = 3x + 1

2x + 4y = 9

2x + 4(3x + 1) = 9

200

What would be the first step in solving this system?

2x - 3y = -1

x = 7y + 1

2(7y + 1) -3y = -1

300

What would be the first step to the following system?

y = 4x + 1

y = -5x - 5

4x + 1 = -5x -5

OR

-5x - 5 = 4x + 1