SOLUTION: The question I'm stumped on is this. SOLVE EACH SYSTEM OF EQUATIONS {{{ y<=x+4 }}} {{{ x-y<=3 }}}

Algebra ->  Inequalities -> SOLUTION: The question I'm stumped on is this. SOLVE EACH SYSTEM OF EQUATIONS {{{ y<=x+4 }}} {{{ x-y<=3 }}}      Log On


   



Question 853553: The question I'm stumped on is this.

SOLVE EACH SYSTEM OF EQUATIONS
+y%3C=x%2B4+
+x-y%3C=3+

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
+y%3C=x%2B4+
+x-y%3C=3+
Let's solve for y in the second equation.
+x-y%3C=3+
add -x to each side
+-y%3C=-x%2B3+
Multiply each side by (-1). This changes the direction of the inequality.
+y%3E=x-3+
Rewrite as
+x-3%3C=y+
So we have +x-3%3C=y+ and +y%3C=x%2B4+
or
+x-3%3C=y%3C=x%2B4+