Question

Solve the system of equations:
y = x + 2
y = x2 + 5x + 6
HELP PLZ

Answer 1

x=2(twice)

y=0(twice)

Explanation:

This question can be solved using substitution method

So let's solve

y=x+2....(1)

y=x2+5x+6....(2)

Substitute (1) into(2)

X+2=x2+5x+6

Collect like terms

X2+5x-x+6-2=0

X2+4x+4=0

X2+2x+2x+4=0

X(x+2)+2(x+2)=0

(X+2)(x+2)=0

X+2=0

Substrate 2 from both sides

X=-2

X+2=0

X=-2

Let's substitute the value of x into (1)

y=x+2

y=-2+2

Y=0(twice)