The answer: " x = 68, y = 72 " . ____________________________ Explanation: ________________________________________ 46 + (x - 3) + (y - 3) = 180 .
46 + 1(x - 3) + 1(y-3) = 180 .
46 + 1x - 3 + 1y - 3 = 180 .
46 - 3 - 3 + 1x + 1y = 180 .
40 + x + y = 180 ;
Subtract "40" from EACH SIDE of the equation: ______________________________________ 40 + x + y - 40 = 180 - 40 ;
to get:
x + y = 140 ; _____________________________________ Now: _____________________________________ 65 = (x - 3) ;
↔ x - 3 = 65 ;
Add "3" to EACH SIDE of the equation;
x - 3 + 3 = 65 + 3 ;
to get:
x = 68 . ______________________________ Now:
Since: "x + y = 140" ;
Let us plug in our known value, "68" ; for "x" ;
to solve for "y" ; __________________________________ x + y = 140 ;
68 + y = 140 ;
↔ y + 68 = 140 ;
Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ; ______________________________________________ y + 68 - 68 = 140 = 68 ;
y = 72 . ______________________________________________ So, solve for "x" and "y".
x = 68, y = 72 . _______________________________________________
