\(3g-23k = 75
2g = 8k+28\)
we can start by simplifying the second equationÂ
\(2g = 8k + 28 \\ \frac{2g}{2} = \frac{8k+28}{2} \\ g = 4k+14\)
now insert g into the first equation and simplify
\(3(4k+14) - 23k = 75 \\ 12k + 42 - 23k = 75 \\ -11k + 42 = 75 \\ -11k = 33 \\ k = -3\)
\(g = 4k +14 \\ g = 4(-3) +14 \\ g = -12 + 14 \\ g = 2\)
Therefor g = 2, k = -3
