Question

⅓x + y = 10/3 ; 2x + ¼y = 11/4​

Answer 1

Answer:

x=1 , y = 3

Step-by-step explanation:

Given

x/3 + y   = 10 / 3  . . . . . . . . . . . . .  (1)  ⇒3y = 10 - x  . . . . . . . . . . . . (2)

2x + y/4 = 11 / 4  . . . . . . . . . . . . . . (3)

( 1 ) + ( 3 )

x ( 2 + 1/3 )  + y ( 1 + 1/4 ) = 10/3 + 11/4

7x/3 +5y/4 = 10 /3 + 11 / 4

( 28x + 15y ) / 12 = ( 40 + 33 ) / 12

28x + 5(3y) = 73

From equation (2)

28x + 5 ( 10 - x  ) = 73

28x + 50 - 5x = 73

28x - 5x  = 73 - 50

23x = 23

x=1

From equation (2)

3y = 10 - x

3y = 10 - 1

3y = 9

y = 3