Question

find the solution of the system of equations.
\

$$\begin{cases} 3x + 4y = 23 \\\\ -3x - y = -8 \\end{cases}$$

show your work here.

$x = $

$y = $

Explanation:

Step1: Add the two equations

$(3x + 4y) + (-3x - y) = 23 + (-8)$
$3y = 15$

Step2: Solve for y

$y = \frac{15}{3} = 5$

Step3: Substitute y into second equation

$-3x - 5 = -8$
$-3x = -3$
$x = 1$

Answer:

$x = 1$, $y = 5$