⅓x + y = 10/3 ; 2x + ¼y = 11/4
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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
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