Question

2 (-2, 0); y = -2x - 4y = x+4What are the steps

Answer 1

To solve the system given

$\begin{gathered} y=-2x-4 \\ y=x+4 \end{gathered}$

we substitute the value of y from the first equation to the second. This gives

$-2x-4=x+4$

adding 2x to both sides gives

$-2x-4+2x=x+4+2x$$-4=3x+4$

subtracting 4 from both sides gives

$-8=3x$

Finally, dividing both sides by 3 gives

$\boxed{x=-\frac{8}{3}\text{.}}$

With the value of x in hand, we substitute it into y = x +4 to get

$y=x+4$$y=-\frac{8}{3}+4$$\boxed{y=\frac{4}{3}}$

Hence, the solution to the system is

$(-\frac{8}{3},\frac{4}{3})$

which is our answer!