Question

Is y=2x-8 and 2x-y=8 a dependent independent or inconsistent

Answer 1

Answer:

dependent

Step-by-step explanation:

$y=2x-8$ and $2x-y=8$

First equation is already solve for y

LEts solve the second equation for y

$2x-y=8$

Subtract 2x on both sides

$-y=-2x+8$

Divide the whole equation by -1

$y=2x-8$

After solving for y, both equation are same

When both the system of equation are same then  it has infinite solutions.

They are said to be dependent.

Answer 2

Note that 2x-y=8 can be solved for y:  y=2x-8.  This is identical to the first equation.  The graph of one is exactly the same as the graph of the other.  Thus, the two equations are dependent.