64x - 45y = 289 and 45x - 64y = 365 , solve this linear equation in two variables .

64x - 45y = 289 and 45x - 64y = 365 , solve this linear equation in tw

1.	64x - 45y = 289 and 45x - 64y = 365 , solve this linear equation in two variables .
Answer» 64x-45y=289x=289+45y/64......let this be equation 1Similarly in the second equation45x-64y=365x=365+64y/45.......let this be equation 2From eq 1&2 289+45y/64=365+64y/45Now by cross multiplication45(289+45y)=64(365+64y)Simplifying......13005+2025y=23360 +4096yTaking LHS to RHS .....we get 2071y=-10355y=-10355/2071y=-5By substituting y in eq 1.....64x -45 × (-5)=28964x +225=28964x=289-22564x=64Thefore x=1.......hence x=1 y= -5