Question

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Find the value of x and y.

Answer 1

`180^o-112^o=68^o`


`\left\{\begin{array}{ccc}2x+3y=68&|\cdot(-15)\\30x+11y=112\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-30x-45y=-1020\\30x+11y=112\end{array}\right}\\.\ \ \ \ \ \ \ -34y=-908\ \ \ |:(-34)\\\\.\ \ \ \ \ \ \ \ \ \ \ y=(908)/(34)\to y=(454)/(17)\\\\2x+3\cdot(454)/(17)=68\ \ \ \ |\cdot17\\\\34x+1362=1156\ \ \ \ |-1362\\34x=-206\ \ \ \ |:34\\\\x=-(206)/(34)\to x=-(103)/(17)\\\\ \left\{\begin{array}{ccc}x=-(103)/(17)\\\\y=(454)/(17)\end{array}\right`