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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

1 Answer

5 votes

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


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