Question

Without graphing, classify the following system as independent, dependent, or inconsistent. y=-3x+4 and 6x+2y=8
a. independent
b. dependent
c. inconsistent
please help

Answer 1

Answer:

Dependent

Step-by-step explanation:

$y=-3x+4$ and $6x+2y=8$

Lets solve the second equation for y and then substitute it in first equation

$6x+2y=8$

Subtract 6x on both sides

$2y=-6x+8$

Divide by 2 on both sides

$y=-3x+4$

Now we plug it in first equation for y

$-3x+4=-3x+4$

Add 3x on both sides

$4=4$

Both sides are same, they are equal. the system has infinite solutions.

They are said to be dependent