Solve the system of equations xy 10 2x y 1Solution2x y 1

Solve the system of equations: xy = 10 2x - y = 1

2x -y =1

=>y =2x -1

xy=10

=>x(2x -1)=10

=>2x²-x =10

=>2x²-x -10=0

=>2x²-5x+4x -10=0

=>x(2x-5)+2(2x-5)=0

=>(x+2)(2x-5)=0

=>x+2=0,2x-5=0

=>x =-2, x =5/2

x =-2,y =2x -1

=>y =2(-2) -1 =-5

(x,y)=(-2,-5)

x =5/2,y =2x -1

y=2(5/2) -1 =4

(x,y)=(5/2,4)

so the solutions are (x,y)=(-2,-5) ,(5/2,4)