SOLUTION: x²-y=4x y-2x=-5

Algebra ->  Systems-of-equations -> SOLUTION: x²-y=4x y-2x=-5       Log On


   



Question 1101096: x²-y=4x
y-2x=-5

Answer by Math10#(1) About Me  (Show Source):
You can put this solution on YOUR website!
From the second equation , we get
y=2x-5.
Substituting y=2x-5 in the first equation , we get
x^2-2x+5=4x
or, x^2-6x+5=0,
or, x^2-5x-x+5=0,
or, (x-5)(x-1)=0,
or, x=5,1
If x=5 , then y=5,
If x=1, then y=-3, Thus the solutions are (5,5) or (1,-3)