Question

Solve the system of equations. y = 2x y = x 2 – 15

Answer 1

Answer:

d is your answer

Step-by-step explanation:

Answer 2

Answer:

Option D.

Step-by-step explanation:

The given system of equations is

$y=2x$         ....(i)

$y=x^2-15$         ...(ii)

From (i) and (ii) we get

$x^2-15=2x$

$x^2-2x-15=0$

$x^2-5x+3x-15=0$

$x(x-5)+3(x-5)=0$

$(x-5)(x+3)=0$

Using zero produc property we get

$x-5=0\Rightarrow x=5$

$x+3=0\Rightarrow x=-3$

If x=5, then

$y=2(5)=10$

If x=-3, then

$y=2(-3)=-6$

The solutions of the given system of equations are (-3,-6) and (5,10).

Therefore, the correct option is D.