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)