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

Dependent

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