find the number of ordered pairs(X,y) satisfying |x-1|+3y=4 and x-|y-1|=2
As you see these are the equations of pair of straight lines. At first what you should do plot all the 4 curves on a graph paper. And inspect where the pair of straight lines are intersecting each other. That particular intersecting point will be the ordered pair solution of the equation. Give it a whole hearted try. Seems to be an easy question. You can solve it.