Question

Solve the following system. x2 + y 2= 25 2x + y = 10

Answer 1

Hi,

`\left \{ {{x^2+y^2=25} \atop {2x+y=10}} \right. \\\\ \left \{ {y=10-2x} \atop {x^2+(10-2x)^2=25}} \right. \\\\ \left \{ {{5x^2-40x+100=25} \atop {y=10-2x}} \right. \\\\ \left \{ {{x^2-8x+15=0} \atop {y=10-2x}} \right. \\\\ \left \{ {{(x-3)(x-5)=0} \atop {y=10-2x}} \right. \\\\ \left \{ {{x=3} \atop {y=4}} \right. \\\\ \ or\ \\ \left \{ {{x=5} \atop {y=0}} \right. \\\\`