Question

How to solve -5/7-11/7x=-y
2y=7+5x

Answer 1

`\left\{\begin{array}{ccc}-(5)/(7)-(11)/(7)x=-y&/\cdot(-1)\\2y=7+5x\end{array}\right\\\left\{\begin{array}{ccc}(5)/(7)+(11)/(7)x=y\\2y=7+5x\end{array}\right\\\\substitute\\\\2\cdot\left((5)/(7)+(11)/(7)x\right)=7+5x\\\\(10)/(7)+(22)/(7)x=7+5x\ \ \ /\cdot7\\\\10+22x=49+35x\\\\22x-35x=49-10\\\\-13x=39\ \ \ /:(-13)\\\\x=-3`


`\left\{\begin{array}{ccc}x=-3\\y=(5)/(7)+(11)/(7)x\end{array}\right\\\left\{\begin{array}{ccc}x=-3\\y=(5)/(7)+(11)/(7)\cdot(-3)\end{array}\right\\\left\{\begin{array}{ccc}x=-3\\y=(5)/(7)-(33)/(7)\end{array}\right\\\left\{\begin{array}{ccc}x=-3\\y=-(28)/(7)\end{array}\right\\\left\{\begin{array}{ccc}x=-3\\y=-4\end{array}\right`