We have the following:
[tex]\begin{gathered} 1.8=5.4x-y \\ y=-3.8-6.2x \end{gathered}[/tex]solving:
[tex]\begin{gathered} 1.8=5.4x-(-3.8-6.2x) \\ 1.8=5.4x+3.8+6.2x \\ 6.2x+5.4x=1.8-3.8 \\ 11.6x=-2 \\ x=-\frac{2}{11.6} \\ x=-\frac{2\cdot2.5}{11.6\cdot2.5} \\ x=-\frac{5}{29} \end{gathered}[/tex]now, for y:
[tex]\begin{gathered} y=-3.8-6.2\cdot-\frac{5}{29} \\ y=-3.8\cdot\frac{29}{29}+\frac{31}{29} \\ y=-\frac{110.2}{29}+\frac{31}{29} \\ y=-\frac{79.2\cdot5}{29\cdot5} \\ y=-\frac{396}{145} \end{gathered}[/tex]So, x = -5/29 and y = -396/145
