# How do you solve the system of equations with absolute value #abs(x+y)=5# and #abs(x*y)=2#?

##### 1 Answer

Apr 2, 2015

|x+y| =5 would represent two straight lines x+y=5 and x+y = -5. Similarly |x.y| =2 will represent two asymptotic curves x.y=2 and x.y= -2.

First find the intersection of x+y=5 with x.y =2, by plugging in y=

There will be in all 8 points of intersection which each line would have with each curve, which can be calculated like wise.