Question

c. \

$$\begin{cases} 5m - 2n = 22 \\\\ n = 4m - 2 \\end{cases}$$

Explanation:

Step1: Substitute n into first equation

Substitute $n=4m-2$ into $5m-2n=22$:
$5m - 2(4m - 2) = 22$

Step2: Expand and simplify the equation

Expand the parentheses and combine like terms:
$5m - 8m + 4 = 22$
$-3m + 4 = 22$

Step3: Solve for m

Isolate the term with m, then solve:
$-3m = 22 - 4$
$-3m = 18$
$m = \frac{18}{-3} = -6$

Step4: Substitute m to find n

Plug $m=-6$ into $n=4m-2$:
$n = 4(-6) - 2 = -24 - 2 = -26$

Answer:

$m=-6$, $n=-26$