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8x - 6y = 26 and 11x - 9y = 8; Find value of 2y - 2x = ?

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8x - 6y = 26 and 11x - 9y = 8; Find value of 2y - 2x = ?
posted Jun 25, 2019 by Saif Khanam

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2 Answers

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12


8x - 6y = 26 ---------> (1)
11x - 9y = 8 ----------> (2)
2y - 2x = ?


Subtract side-by-side:
(1)*11 - (2)*8 ---> 6y=222--> 2y=74
(1)*3- (2)*2 ---> 2x=62
2y-2x=74-62=12

answer Jun 25, 2019 by Hanifa Mammadov
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The given equations are
8x - 6y = 26 ---------> (1)
11x - 9y = 8 ----------> (2)
Now divide the equation (1) by 2 and we get
4x - 3y =13. Now multiply this equation by 3. We get,
12x - 9y = 39 ............... (3)
Solving the equations (2) and (3) we get,
-x = - 31 or x = 31.
Substituting this value of x= 31, in 4x - 3y = 13, we get,
124 - 3y = 13 or 3y = 124-13 = 111 or y = 37.

2y - 2x = 2(37) -2 (31) = 74 - 62 = 12 is the answer. Dr. M J SUBRAMANYAM

answer Jun 28, 2019 by M J Subramanyam
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