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(1)/(3)x+(1)/(4)y=4,(5)/(6)x-(1)/(8)y=4...

`(1)/(3)x+(1)/(4)y=4,(5)/(6)x-(1)/(8)y=4`

Text Solution

Verified by Experts

The correct Answer is:
`x=6,y=12`
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(1)/(3)x+y=(10)/(3),2x+(1)/(4)y=(11)/(4)

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Knowledge Check

  • The straight lines (x-3)/(2)=(y+5)/(4)=(z-1)/(-13)and(x+1)/(3)=(y-4)/(5)=(z+2)/(2) are

    A
    parallel
    B
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    C
    inclined at `45^(@)`
    D
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    • Similar Questions

    Explore conceptually related problems

    Solve : (1)/(2x)+(1)/(4y)-(1)/(3z)=(1)/(4),(1)/(x)=(1)/(3y),(1)/(x)-(1)/(5y)+(4)/(z)=2 (2)/(15)

    (4)/(x)+(3)/(y)=1,(8)/(x)-(9)/(y)=7

    Solve : (2)/(x)+(3)/(y)+(10)/(z)=4,(4)/(x)-(6)/(y)+(5)/(z)=1, (6)/(x)+(9)/(y)-(20)/(z)=2

    If A=({:(2,3,10),(4,-6,5),(6,9,-20):}) find A^(-1) . Using A^(-1) solve the system of equations. (2)/(x)+(3)/(y)+(10)/(z)=2,(4)/(x)-(6)/(y)+(5)/(z)=5,(6)/(x)+(9)/(y)+(20)/(z)=-4

    Show that the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(3)and(x-1)/(-3)=(y-4)/(2)=(z-5)/(1) are coplanar. Also, find the plane containing these lines.

    (1)/(2(3x+4y))=(1)/(5(2x-3y))=(1)/(4),

    Find the point of intersection of the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z .

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