Answer:
x = -0.357, y = 2.071
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}x+5y=10\\3x+y=1&\text{multiply both sides by (-5)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}x+5y=10\\-15x-5y=-5\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-14x=5\qquad\text{divide both sides by (-14)}\\.\qquad x=-\dfrac{5}{14}\to x\approx-0.357\\\\\text{Put it to the equation}\ 3x+y=1:\\\\3(-0.357)+y=1\\-1.071+y=1\qquad\text{add 1.071 to both sides}\\y=2.071[/tex]
