Question

13x+11y=70,11x+13y=74, what is the value of X and y

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

x = 2

y = 4

Step-by-step explanation:

By adding both the equations,

( 13x + 11y ) + ( 11x + 13y ) = 70 + 74

24x + 24y = 144

24 ( x + y ) = 144

x + y = 6 ------ ( 1 )

By subtracting both the equations,

( 13x + 11y ) - ( 11x + 13y ) = 70 - 74

2x - 2y = -4

2 ( x - y ) = -4

x - y = -2 ---- ( 2 )

By ( 1 ) + ( 2 ),

( x + y ) + ( x - y ) = 6 + ( - 2 )

2x = 4

x = 2

Hence, in ( 1 ),

2 + y = 6

y = 4