Solve the system using substitution or elimination Solve the

Solve the system using substitution or elimination y^2 + x^2 = 25 y^2 - 2x^2 = 1

Solution

y²+x²=1

y²-2x²=1

Solving by elimination method

subtracting these equations,we get

3x²=0

x²=0

x=0

when x=0,0+y²=1

y²=1

y=+-1

so we get (0,1)and (0,-1)