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11. $\begin{cases}3x + y = -8\\5x + 2y = 5\\end{cases}$

Question

11.

$$\begin{cases}3x + y = -8\\5x + 2y = 5\\end{cases}$$

Explanation:

Step1: Isolate y from first equation

$y = -8 - 3x$

Step2: Substitute y into second equation

$5x + 2(-8 - 3x) = 5$

Step3: Simplify to solve for x

$5x - 16 - 6x = 5$
$-x = 5 + 16$
$-x = 21$
$x = -21$

Step4: Substitute x back to find y

$y = -8 - 3(-21)$
$y = -8 + 63$
$y = 55$

Answer:

$x = -21$, $y = 55$