Question

1. \

$$\begin{cases} 3x + 5y = 3 \\\\ x = 8 - 4y \\end{cases}$$

Explanation:

Step1: Substitute $x=8-4y$ into first equation

$3(8-4y)+5y=3$

Step2: Expand and simplify the equation

$24-12y+5y=3$
$24-7y=3$

Step3: Solve for $y$

$-7y=3-24$
$-7y=-21$
$y=\frac{-21}{-7}=3$

Step4: Substitute $y=3$ to find $x$

$x=8-4\times3=8-12=-4$

Answer:

$x=-4$, $y=3$