Home
Class 10
MATHS
x-y+z=4, x+y+z=2, 2x+y-3z=0...

`x-y+z=4`, `x+y+z=2`, `2x+y-3z=0`

Text Solution

Verified by Experts

Given,
`x−y+z=4`.....(i)
`x+y+z=2`....(ii)
`2x+y−3z=0`....(iii)
Solving (iii), y=−2x+3z
Substituting this value in (i) and (ii),
we get, `3x−2z=4`...(iv)
`−x+4z=2`...(v) ...
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA|Exercise All Questions|306 Videos
  • POLYNOMIAL

    RD SHARMA|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

2x = 3y = 4z, x: y: z

x-2y+z=0 y-z=2 2x-3z=10

Solve : 2x-y+z=4 , x+3y+2z=12 , 3x+2y+3z=16

3x+4y+7z=4, 2x+y+ 3z= 3, x + 2y +3z =8.

Solve the following equations by reduction method : x - y + z = 4, 2x + y - 3z = 0 , x + y + z = 2

2x-3y+5z=16, 3x+ 2y-4z= -4, x + y - 2z =- 3.

The number of non-trivial solutions of the system x=y+z=0, x+2y-z=0, 2x+y+3z=0 , is

Solve x+y+z=1 , 2x+2y+2z=2 , 3x+3y+3z=4

RD SHARMA-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
  1. (xy)/(x+y)=6/5 (xy)/(y-x)=6

    Text Solution

    |

  2. 3x - (y+7)/11+2 =10 and 2y+ (x+11)/7 =10

    Text Solution

    |

  3. x-y+z=4, x+y+z=2, 2x+y-3z=0

    Text Solution

    |

  4. (44)/(x+y)+(30)/(x-y)=10 (55)/(x+y)+(40)/(x-y)=13

    Text Solution

    |

  5. Solve: x+2y+z=7, x+3z=11, 2x-3y=1

    Text Solution

    |

  6. Solve for x and y 6/(x+y)=7/(x-y)+3, 1/(2(x+y))=1/(3(x-y))

    Text Solution

    |

  7. Determine graphically the vertices of a trapezium, the equations of ...

    Text Solution

    |

  8. Determine, graphically whether the system of equations x-2y=2,4x-2y=5 ...

    Text Solution

    |

  9. Solve the following system of equations by using the method of elim...

    Text Solution

    |

  10. Solve the following system of equations: 1/(2x)-1/y=-1 1/x+1/(2y)=9,w...

    Text Solution

    |

  11. Solve: 4x+6/y=15 6x-8/y=14 and hence find p if y=p x-2

    Text Solution

    |

  12. Solve:3(2u+v)=7u v, 3(u+3v)=11 u v

    Text Solution

    |

  13. Sol v e :1/(2(2x+3y))+(12)/(7(3x-2y))=1/2 7/(2x+3y)+4/(3x-2y)=2 wher...

    Text Solution

    |

  14. Solve: 217 x+131 y=913 131 x+217 y=827

    Text Solution

    |

  15. The area of the triangle formed by the lines 2x+3y=12 ,x-y-1=0 and x=0...

    Text Solution

    |

  16. The students of a class are made to stand in rows. If 3 students are ...

    Text Solution

    |

  17. A wizard having powers of mystic in candations and magical medicines s...

    Text Solution

    |

  18. A railway half ticket costs half the full fare and the reservation cha...

    Text Solution

    |

  19. There are two examination rooms A and B. If 10 candidates are sent A a...

    Text Solution

    |

  20. In a rectangle, if the length is creased by 3 metres and breadth is ...

    Text Solution

    |