Question

23x+31y=77
31x+23y=85
Step by step explanation
Cross Multiplication method

Answer 1

Answer:

23x+31y=77 ______(1)

31x+23y =85_______(2)

adding equation (1) and (2)

23x+31y=77

+. 31x+23y=85

__________________

54x+54y=162

:: 54(x+y)= 162

:: x+y= 162/54

:: x+y = 3 ________(3)

substracting equation (1) from (2)

31x+23y=85

-. 23x+31y= 77

(-). (-). (-)

___________________

8x-8y= 8

:: 8(x-y)=8

::x-y= 8/8

:: x-y = 1___________(4)

now,add equation (3) and (4)

x+y=3

+. x-y=1

________________

2x= 4

+y and -y get cancelled

:: x=4/2

:: x=2

substituting x=2 in equation (3)

x+y = 3

:: 2+y=3

:: y=3-2

:: y=1

:: The solution of given equation is (x,y) = (2,1).