{y-x=2 {(10x+y)(x+y)=144

Question

{y-x=2
{(10x+y)(x+y)=144

Answer 1

Y=2+x
(10x+2+x)(x+2+x)=144
(11x+2)(2x+2)=144
22x²+22x+4x+4-144=0
22x²+26x-140=0
11x²+13x-70=0
D=169+3080=3249
x1=(-13-57)/22=-35/11⇒y1=-3 2/11+2=-1 2/11
x2=(-13+57)/22=2⇒y2=2+2=4