Please save my life and I will love you always?

7x+3y=4
-35x-15y=-20

please explain the system of elimination for me

and if the system is inconsistent or dependent equation says so

the answer should look like { (x,y) l_____}

Multiply the first equation by -5 and you will see that it becomes the second equation. So, there is really only one equation. There are infinitely many solutions, namely { (x,y) l 7x+3y=4 }.

7x+3y:4.........1
-35x-

Equation A: 7x + 3y = 4

Equation B: -35x - 15y = -20

Now, we either need to eliminate "x" or "y". I will eliminate "Y" by multiplying equation A by 5 which will get me some other values and of course, 3y(5) = 15y and when I "add the equations" eliminating "Y" like so...

15(y) + (-15y) = 0 ........Now, all we have is "x's"

, I can cancel out the "Y" leaving only "x's". Also note that if you get in a jam and you have some negative value frustration you can actually "subtract" the equations [ if it is appropriate].

(Equation A)(5) ----------> (7x + 3y = 4)(5) --------> 35x + 15y = 20

Equation B [do not change] : ------------------------> -35x - 15y = -20

Yeah, the two lines are the same afterall.