What is one of the solutions to the following system of equations?
y^2+x^2=53
y-x=5
a)(-10,-5)
b)(-7,-2)
c)(7,2)
d)(5,10)

Question

What is one of the solutions to the following system of equations?
y^2+x^2=53
y-x=5
a)(-10,-5)
b)(-7,-2)
c)(7,2)
d)(5,10)

solomonzelman · Answer

based on the second equation, $\large\color{slate}{y=x+5   }$ 
So, substitute this into the first equation.

$\large\color{slate}{(x+5)^2+x^2=53   }$ 

$\large\color{slate}{x^2+10x+25+x^2=53   }$ 

$\large\color{slate}{2x^2+10x-28 =0  }$ 

$\large\color{slate}{x^2+5x-7 =0  }$ 

and then you finish...

anonymous · Answer

thank you