What are the x-coordinates of the solutions to this system of equations?

x2 + y2 = 25
y = 2x − 5

−4 and 0
4 and 0
−3 and −5
3 and −5

Question

What are the x-coordinates of the solutions to this system of equations?

x2 + y2 = 25
y = 2x − 5

 −4 and 0
 4 and 0
 −3 and −5
 3 and −5

danjs · Answer

it is a circle and a line,   so it will intersect never, once as a tangent, or twice as a secant through th ecircle

danjs · Answer

They give you the value for y, y=2x-5

put that into the circle equation, and solve for x
$$x^2+(2x-5)^2=25$$

anonymous · Answer

i don't know how to do that 
can you please help

danjs · Answer

$$x^2+(2x-5)(2x-5)=25$$
$$x^2+4x^2-10x -10x+25=25$$

anonymous · Answer

I'm following

danjs · Answer

$$5x^2-20x = 0$$
$$5x(x-4) = 0$$
$$5x=0~~~~~or~~~~~x-4=0$$

anonymous · Answer

I'm following

danjs · Answer

if you are following till now , you can finish er

anonymous · Answer

so would it be -4 and 0?

anonymous · Answer

@DanJS