Question

What is the solution to the system of equations?
5x-3y=-9
2x-5y=4

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Answer 1

$\left \{ {{5x-3y=-9\ \ | *(-2)} \atop {2x-5y=4\ \ | *5}} \right. \\\\ \left \{ {{-10x+6y=18} \atop {10x-25y=20}} \right. \\\\+---\\addition\ method\\\\ -19y=38\ \ \ | divide\ by\ -19\\ y=-2\\\\2x=4+5y\ \ \ | divide\ by\ 2\\\\ x=\frac{4+5y}{2}=\frac{4+5*(-2)}{2}=\frac{4-10}{2}=\frac{-6}{2}=-3\\\\Solution:\\ \left \{ {{y=-2} \atop {x=-3}} \right.$