Question

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

x2 + y² = 36
y = x - 6 (1 point)
Select one:
a. 2 and 0
b. 6 and 2
c. 6 and -2
d. 6 and 0

Answer 1

x^2+y^2=36
y=(x-6)
substitute y in first equation
x^2+(x-6)^2=36
x^2+x^2-12x+36=36
simplify and factor
2x(x-6)=0
so x=0, x=6