Use the substitution method to find the solution(s) to the system of equations. Show all work for full credit.
y = x2
y = x + 2

Question

Use the substitution method to find the solution(s) to the system of equations. Show all work for full credit.
y = x2
y = x + 2

campbell_st · Answer

Equate the equations sine both are equal to y

$$x^2 = x + 2 $$
or 

$$x^2 - x - 2= 0......(x -2)(x+1)=0 $$

then x = 2 or -1

substitute the  values into either equation

y = 2^2   and y = (-1)^2

y = 4 and 1

ordered pairs are 

(2, 4) and (-1, 1)

anonymous · Answer

y = x + 2 

We know Y =X2
So

X2=X+2

X2-X-2=0
(X+1)(X-2)=0
X=-1 orX=2

So when X=-1----= Y=1
             X=2---- = Y=4

anonymous · Answer

@campbell_st and samitheman99 Thank you so much.