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प्रश्न
Solve:
x + y = 2xy
x - y = 6xy
उत्तर
x + y = 2xy ...(1)
x - y = 6xy ...(2)
Adding equation (1) and (2)
x + y = 2xy
+ x - y = 6xy
2x = 8xy
2 = 8y
y = `1/4`
From (1)
`x + 1/4 = 2x (1/4)`
`x + 1/4 = x/2`
`x-x/2=(-1)/4`
`(2x-x)/2=(-1)/4`
`x/2=(-1)/4`
x = `(-2)/4`
x = `(-1)/2`
APPEARS IN
संबंधित प्रश्न
Solve :
`9/x - 4/y = 8`
`13/x + 7/y = 101`
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 :
`20/[ x + y ] + 3/[ x - y ] = 7`
`8/[ x - y ] - 15/[ x + y ] = 5`
Solve :
`34/[ 3x + 4y ] + 15/[ 3x - 2y ] = 5`
`25/[ 3x - 2y ] - 8.50/[ 3x + 4y ] = 4.5`
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`
