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Solve algebraically the simulations equations: x^2+y^2=25 and y-3x=13

x²+y²=25; y-3x=13; x²+(13+3x)²=25; x²+9x²+78x+169=25; 10x²+78x+144=0; 5x²+39x+72=0; (5x+24)(x+3)=0; x=-24/5 and y=-7/5;x=-3 and y=4

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