solve x and y for: x²+y²=9 and x+y=2

Question

Need help on this! Really tricky!!

Answer 1

1...x^2 +y^2=9 is a serkel with senter=(0,0) & radius=3

2...y=-x+2 is a strate line with slope=-1 & fo thru (0,2)

hand draw a simpel pik & yu spekt line tu hit serkel bout x=2.5 & neer x=-1

rerite serkel as y=sqrt(9-x^2)=-x+2

or (2-x)^2=(9-x^2)

x^2 -2x +4=-x^2+9

2x^2 -2x +4-9=0...2x^2 -2x -5=0

quadratik equashun giv roots=x=2.1583124 & x=-1.1583124

Answer 2

Rearrange 2nd equation to give y=2-x Substitute value for y into first equation Expand and simplify to 2x²-4x-5=0 Use the quadratic formula where a=2 b=-4 c= - 5 to give answers x= 2.87 y= - 0.87 or x=-0.87 y=2.87