X + 2 y is equal to 12 and 2x + y is equal to 8 find the value of x and y
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Answer:
Required value of y is 16 / 3 and y is 4 / 3.
Step-by-step explanation:
Given,
x + 2y = 12
= > x = 12 - 2y ...( i )
Also, 2x + y = 8
Substituting the value of x from ( i )
= > 2( 12 - 2y ) + y = 8
= > 24 - 4y + y = 8
= > 24 - 3y = 8
= > 24 - 8 = 3y
= > 16 = 3y
= > 16 / 3 = y
Substituting the value of y in ( i )
= > x = 12 - 2y
= > x = 12 - 2( 16 / 3 )
= > x = ( 36 - 32 ) / 3
= > x = 4 / 3
Hence the required value of y is 16 / 3 and y is 4 / 3.
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