Question

3 \

$$\begin{cases} x = y - 9 \\\\ 5x + 2y = 11 \\end{cases}$$

\quad 5x + 2y = 11

Explanation:

Step1: Substitute $x=y-9$ into the second equation

$5(y-9) + 2y = 11$

Step2: Expand and simplify the equation

$5y - 45 + 2y = 11$
$7y - 45 = 11$

Step3: Solve for $y$

$7y = 11 + 45$
$7y = 56$
$y = \frac{56}{7} = 8$

Step4: Substitute $y=8$ into $x=y-9$

$x = 8 - 9 = -1$

Answer:

$x=-1$, $y=8$