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)

Answer 1

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...

Answer 2

thank you