find the solutions to the system

y= x^2 + 8x +2
y= 7x +4

A (-2,-10) and (1,11)
B (2,10) and (-1,-11) my answer
C (-2, -34) and (1,11)
D No solutions.

3 answers

since y = 7x+4,
x^2 + 8x + 2 = 7x + 4
Now just solve for x as usual, and then y = 7x+4
y= x^2 + 8x +2.....(*)
y= 7x +4.......(**)
----------------------------
Equating *&**

x²+8x+2=7x+4

x²+x-2=0
Factored as
(x-1)(x+2)=0
x=1or -2

Insert those values into
Y=7x+4
to find y respectively

Hmmm none of my x value suit the options
Forget about my last statement.....did scan through the options properly
x=1

y=11