Question

13x+2y=1 5x−2y=−19 x= y=

Answer 1

$+\underline{\left\{\begin{array}{ccc}13x+2y=1\\5x-2y=-19\end{array}\right}\ \ \ |\text{add both sides of equations}\\.\ \ \ \ \ 18x=-18\ \ \ \ |:18\\.\ \ \ \ \ \ x=-1\\\\\text{substitute the value of x to the first equation}\\\\13(-1)+2y=1\\-13+2y=1\ \ \ \ |+13\\2y=14\ \ \ \ |:2\\y=7\\\\\text{Answer:}\ \left \{ {{x=-1} \atop {y=7}} \right.$