Question

Use graphing to find the solutions to the system of equations.

y=x^2+7x+7
y=x+2

Answer 1

so u are allowed to use graphing calculator

Answer 2

https://www.desmos.com/calculator/1rk2cnk3m5

Answer 3

otherwise

\(\large \begin{align} \color{black}{ y=x^2+7x+7\\
y=x+2
\hspace{.33em}\\~\\
x^2+7x+7=x+2 \hspace{.33em}\\~\\
x^2+6x+5=0 \hspace{.33em}\\~\\
x^2+5x+x+5=0 \hspace{.33em}\\~\\
x^2+5x+x+5=0 \hspace{.33em}\\~\\
x(x+5)+1(x+5)=0 \hspace{.33em}\\~\\
(x+1)(x+5)=0 \hspace{.33em}\\~\\
x=-1~~or~~x=-5 \hspace{.33em}\\~\\
}\end{align}\)

put each value of x to get y in original equations