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प्रश्न
Solve:
`9/x - 4/y = 8`
`13/x + 7/y = 101`
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उत्तर
`9/x - 4/y = 8` ...(1)
`13/x + 7/y = 101` ...(2)
Multiplying equation no. (1) by 7 and (2) by 4.
`63/x - 28/y = 56` ...(3)
`52/x + 28/y = 404` ...(4)
Adding equation (3) and (4)
`63/x - 28/y = 56`
+ `52/x + 28/y = 404`
`115/x` = 460
`x = 115/460 = x = 1/4`
From (1)
9 x `(4/1) - 4/y = 8`
`-4/y = - 28`
`y = 1/7`
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संबंधित प्रश्न
Solve the pairs of equations :
`3/x + 2/y = 10`
`9/x - 7/y = 10.5`
Solve :
5x + `8/y` = 19
3x - `4/y` = 7
Solve :
4x + `6/y` = 15 and 3x - `4/y` = 7. Hence, find a if y = ax - 2.
Solve :
`3/x - 2/y = 0 and 2/x + 5/y = 19` Hence, find 'a' if y = ax + 3.
Solve :
`34/[ 3x + 4y ] + 15/[ 3x - 2y ] = 5`
`25/[ 3x - 2y ] - 8.50/[ 3x + 4y ] = 4.5`
Solve:
x + y = 2xy
x - y = 6xy
Solve :
x+ y = 7xy
2x - 3y = - xy
Solve :
`a/x - b/y = 0`
`(ab^2)/x + (a^2b)/y = a^2 + b^2`
Solve :
`[2xy]/[ x + y ] = 3/2`
`[xy]/[ 2x - y ] = -3/10`
x + y ≠ 0 and 2x - y ≠ 0
Solve :
`3/(2x) + 2/(3y) = -1/3`
`3/(4x) + 1/(2y) = -1/8`
