Question

what is the solution to the system of equations?$\begin{cases} y = 3x + 4 \\ y + 2x = -1 end{cases}$(make sure you put parenthesis around your two numbers in the format of (x, y))

Explanation:

Step1: Substitute y into second equation

Substitute $y=3x+4$ into $y+2x=-1$:
$3x+4+2x=-1$

Step2: Combine like terms and solve for x

Combine x terms, isolate x:
$5x+4=-1$
$5x=-1-4$
$5x=-5$
$x=\frac{-5}{5}=-1$

Step3: Substitute x to find y

Plug $x=-1$ into $y=3x+4$:
$y=3(-1)+4=-3+4=1$

Answer:

$(-1, 1)$