answer the above question (6)
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Answer :-
x = 3
y = 1
Step by step explanation
Given pair of linear equation
Solving by Substitution method
21x + 47y = 110 --------- ( 1 )
47x + 21y = 162 --------- ( 2 )
From eq'n ( 1 )
21x + 47y = 110
=> 21x = 110 - 47y
=> x = ( 110 - 47y / 21 ) --------- ( 3 )
Substitute the value of x = ( 110 - 47y / 21 ) in eq'n ( 2 )
47x + 21y = 162
=> 47( 110 - 47y / 21 ) + 21y = 162
=> 5170 - 2209y + 441y = 3402
=> 5170 - 1768y = 3402
=> - 1768y = 3402 - 5170
=> - 1768y = - 1768
=> y = - 1768 / - 1768
=> y = 1
Put y = 1 in eq'n ( 1 )
21x + 47y = 110
=> 21x + 47 ( 1 ) = 110
=> 21x + 47 = 110
=> 21x = 110 - 47
=> 21x = 63
=> x = 63 / 21
=> x = 3
Therefore, the value of x = 3 and y = 1.
Hope it helps!
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