MATHEMATICS HIGH SCHOOL

1) 5x-2y=4.         2) 3x-5y=13  x-2y=5
3x+y=9

Answers

Answer 1
Answer: \left\{\begin{array}{ccc}5x-2y=4\n3x+y=9&/\cdot2\end{array}\right\n+\left\{\begin{array}{ccc}5x-2y=4\n6x+2y=18\end{array}\right\n----------\n.\ \ \ \ \ 11x=22\ \ \ \ /:11\n.\ \ \ \ \ \ \ x=2\n\n3\cdot2+y=9\n6+y=9\ny=9-6\ny=3\n\nAnswer:x=2;\ y=3


\left\{\begin{array}{ccc}3x-5y=13\nx-2y=5\end{array}\right\n\left\{\begin{array}{ccc}3x-5y=13\nx=2y+5\end{array}\right\n\nsubstitute:\n\n3(2y+5)-5y=13\n6y+15-5y=13\ny=13-15\ny=-2\n\nx=2\cdot(-2)+5=-4+5=1\n\nAnswer:x=1;\ y=-2.

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Final Answer

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