Question 1111264
---------------------------------------------------------------------
..., length of a given rectangle is increased by 3 inches and the breadth is reduced by 4 inches, then the area is reduced by 67 square inches. ,...
------------------------------------------------------------------


x, length
y, breadth
{{{xy}}}, area


{{{(x+3)(y-4)=xy-67}}}
-
{{{xy+3y-4x-12-xy=-67}}}

{{{3y-4x=-67+12}}}

{{{3y-4x=-55}}}

{{{highlight_green(4x-3y=55)}}}


-----------------------------------------------------------------
If the length is reduced by 1 inch and the breadth is increased by 4 inches, then the area is increased by 89 square inches. 
-----------------------------------------------------------------


{{{(x-1)(y+4)-xy=89}}}
-
{{{xy-y+4x-4-xy=89}}}
{{{4x-y-4=89}}}
{{{highlight_green(4x-y=93)}}}


-
system of equations:  {{{system(4x-3y=55,4x-y=93)}}}
Solve the system for x and y.



-


{{{highlight(y=19)}}} and {{{highlight(x=28)}}}