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Find the values of x at the point of intersection of the cur...

Find the values of x at the point of intersection of the curve y=x2+2x3 and the lines y+x=1.

A.

(1, -2)

B.

(0, 4)

C.

(2, -3)

D.

(1, -4)

Correct answer is D

Equate the equation of the curve and the line in order to find their point of intersection ie The values of y in both equations. 

y+x=1y=1x

x2+2x3=1x

x2+2x+x31=0x2+3x4=0

(x1)(x+4)=0

x=(1,4)