Solve the following system of equations.

y = x^2 + 3
y = x + 5

Question

Solve the following system of equations.

y = x^2 + 3
y = x + 5

anonymous · Answer

I know that the coeffecients must be opposite..

lυἶცἶ0210 · Answer

Since y =x+5 you could plug that into the first equation:

$\large y=\color{green}{x^2+3} $
$\large y=\color{red}{x+5}$ 

$\Large \color{red}{x+5}=\color{green}{x^2+3}$ 

Now solve

campbell_st · Answer

so you are looking for the points of intersection, so you can equate them 

$$x + 5 = x^2 + 3$$

if you rewrite the equation you get

$$x^2 - x - 2 = 0$$

this can be solved by factoring

anonymous · Answer

okay, would it be 1 and 1? not sure

campbell_st · Answer

so find the factors of -2 that add to -1

the larger factor is negative and the smaller is positive

campbell_st · Answer

when you get the solutions for x, substitute them into either equation to find the corresponding y values... 

remember the solutions are points (x,y)