Solve the system by graphing {y = 7 - x {x + 3y = 11 classify the system without graphing {2x + y = 3 {y = -2x - 1 a) independent system b) dependent system c) inconsistent system classify the system without graphing {x + 3y = 9 {-2x - 6y = -18 a) dependent system b) independent system c) inconsistent system

Solve the system by graphing  

{y = 7 - x   the slope is -1 and the y intercept is 7

{x + 3y = 11   3y = -x+11  y = 1/3 x + 11/3  the slope is 1/3 and the y intercept is 11/3

The solution is x=5, y=2   you will need to graph

Classify the system without graphing

{2x + y = 3      y = -2x+3      

{y = -2x - 1

These lines are parallel   same slope different y intercept

C) Inconsistent System

Classify the system without graphing  

{x + 3y = 9

{-2x - 6y = -18   divide by -2

x+3y = 9

same line

A) Dependent System

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

3x + 4y -25 =0 represents the amount of change sianna should recieve