Q:

please help idk this one !!Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.(–2, 0)(–2, 0) and (2, 0)(–2, 0) and (3, 5)no solutions

Accepted Solution

A:
Given system of equation:
y+4=x² Equation 1
y-x=2 Equation 2
Isolate y from equation 2.
y=x+2 Substitute value of y in equation 1.
x+2+4=x²
x+6=x²
x²-x-6=0
Solve for x.
x²-3x+2x-6=0
x(x-3)+2(x-3)=0
(x-3)(x+2)=0
x-3=0 or x=3
and 
x+2=0 or x=-2
Substitute value of x in y=x+2
y=-2+2=0
and
y=3+2=5
So solutions are (-2,0) and (3,5)

Answer: (-2,0) and (3,5)