Question

What are the solutions of the system?
Y = X + 5
Y = X^2 - X + 2

A.) (3,14) and (-1, 0)
B.) (3, 8) and (-1, 4)
C.) (3, 8) and (-1, 0)
D.) (-3, 2) and (1, 6)

Answer 1

y= x+5 -------(1)

y = x^2 -x +2------(2)

in (1) and (2) left hand sides are equal then right hand sides are equal

x^2 -x +2 = x+5

Answer 2

I'm sorry, I'm still confused.

Answer 3

do we have two equations is it clear

Answer 4

Yes.

Answer 5

circled are equal
then underlined are equal

Answer 6

Ok.

Answer 7

x^2 -x +2 = x+5 [ add both sides -x-5]

Answer 8

x^2+1x-3x-3 =0 [splitting middle term]

Answer 9

r u following

Answer 10

Yes.

Answer 11

x(x+1)-3(x+1)=0[ taking common]

(x+1)(x-3)=0

therefore
x+1= 0 or x-3 =0
now find x values

Answer 12

1 and -3?

Answer 13

NO
x= -1
or x= 3