Question

2x + 4y = 24 - 12x + y = -16

Answer 1

Wehave the following:

$\begin{gathered} 2x+4y=24​ \\ -12x+y=-16 \end{gathered}$

solving:

$\begin{gathered} 2x+4y=24​\Rightarrow\frac{2}{2}x+\frac{4}{2}y=\frac{24}{2}\Rightarrow x+2y=12\Rightarrow x=12-2y \\ \text{replacing} \\ -12\cdot(12-2y)+y=-16 \\ -144+24y+y=-16 \\ 25y=-16+144 \\ y=\frac{128}{25} \end{gathered}$

now, para x

$\begin{gathered} x=12-2\cdot\frac{128}{25} \\ x=\frac{44}{25} \end{gathered}$

The answer is x = 44/25 and y 128/25