Question

What is the solution to the system of equations?

5x-3y=-9
2x-5y=4

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Answer 1

`\left \{ { *(-2) \atop 2x-5y=4\ \ } \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=(4+5y)/(2)=(4+5*(-2))/(2)=(4-10)/(2)=(-6)/(2)=-3\\\\Solution:\\ \left \{ {{y=-2} \atop {x=-3}} \right.`