Answer to Question #345632 in Algebra for xoli

Question

Solve the following system of equations and provide a graphical representation of the solution.

y - x = 1

x² + y² = 13

Answer 1

y=1+x

x²+(1+x)²=13

x²+1+2x+x²-13=0

2x²+2x-12=0

x²+x-6=0

D=1+24=25

x₁=(-1+5)/2=2

x₂=(-1-5)/2=-3

y₁=1+2=3

y₂=1-3=-2

Answer (2; 3), (-3; -2)