Question

What is the solution of the following system of equations?
y = (x+3)^2 - 4
y = 2x +5

Answer 1

set them equal to each other and solve.

Answer 2

\[\Large 2x+5=\left( x+3 \right)^2-4\]

Answer 3

still don't get it.

Answer 4

\[\large \implies 2x+5=\left( x^2+6x+9 \right) -4\]\[\large \implies 2x+5= x^2+6x+5\]

Answer 5

move all terms to one side: \[\LARGE 0 = x^2+4x\]
Solve for x's, and then get the corresponding y's

Answer 6

OH. OKAY. THANK YOU SO MUCH :) YOU JUST SAVED ME <3

Answer 7

\(\Large(x,y)= (0,5)\) or \(\Large(x,y)=(-4, -3)\)

Answer 8

YUP, THANK YOU :)