SOLUTION: solve the following system of equations and state answer in coordinate pairs? y=4x and y=-x^(2) answers...(0,0)(-4,-16),(0,0)(4,16),(0,0)(4,-16), No solution

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: solve the following system of equations and state answer in coordinate pairs? y=4x and y=-x^(2) answers...(0,0)(-4,-16),(0,0)(4,16),(0,0)(4,-16), No solution      Log On


   

Question 441881: solve the following system of equations and state answer in coordinate pairs?
y=4x and y=-x^(2)
answers...(0,0)(-4,-16),(0,0)(4,16),(0,0)(4,-16), No solution
Answer by AHBK(13) About Me  (Show Source):
You can put this solution on YOUR website!
y=4x and y=-x^2
we have Y=Y
substitute the values of y
so
4x=-x^2
so
x^2+4x=0
factorize
x(x+4)=0
so x=0
or
x+4=0
then x=-4
for x=0
y=4x=4(0)=0 first coordinates (0,0)
for x=-4
y=4(-4)=-16
second coordinates (-4,-16)
note this system has 2 solutions since the equation y=-x^2 is an equation of a parabola which is a curve not a straight line the it cuts the straight line of equation y=4x in 2 points
welcome