Question

Solve by Elimination by equating Coefficients method and find 2x + y

2. 8y - 3x = 5xy ;

6y - 5x = - 2xy

Ans: 22 / 31 , 11 / 23


Class 10


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Answer 1

Heya!

Here is yr answer.....


2. 8y -3x = 5xy ; 6x - 5y = -2xy


Solution :-
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Let us eliminate the xy term...

=> 8y - 3x = 5xy ............ (1)

=> 6y - 5x = -2xy .............(2)

Now, multiply eq.(1) with 2 and also multiply the eq. (2) with 5

=> (1) 16y - 6x = 10xy ; (2) 30y-25x=-10xy

Now add them...


=> 16y-25x-6x+30y = 10xy-10xy

=> 46y-31x = 0

=> 46y = 31x

=> y = 31/46×x..............(3)

by sub. y = 31/46xin eq. (1)

=> 8(31/46x) - 3x = 5x(31/46x)


by Multiplying by 46 and divide by x on both sides....


=> 248 - 138 = 155x

=> 110 = 155x

=> x = 110/155

=> x = 22/31

Now, find y....

=> y = 31/46 × x

=> y = 31/46 × 22/31

=> y = 11/23


Now, 2x + y = ??

=> 2(22/31) + 11/23

=> 44/31 + 11/23

=> 1012+341/713

=> 1353/713


Hope it helps....

:)

Answer 2

Hey, I have attached the solution. Kindly have a look over it. Hope it helps you. ^_^