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

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

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Given that,
`3x - (y+7)/11+2 =10` and `2y+ (x+11)/7 =10`
`=>33x−y−7+22=110` and `=> 14y+x+11=70 `
`=> 33x−y+15=110`...(1)
and `=> x+14y=59`....(2)
...
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If A = (3,-4) , B= (7,0) and C = (14 , -7) are the three consecutive vertices of a parallelogram ABCD , then find the slope of the diagonal BD . The following are the steps involved in solving the above problem . Arrange them is sequential order (A) ((x + 7)/(2) , (y + 0)/(2)) = ((3 + 14)/(2) , (-4-7)/(2)) . (B) The slope of BD = (-11-0)/(10-7) = (-11)/(3) . (C) (x+7)/(2) = (17)/(2) and (y+0)/(2) - (-11)/(2) implies x = 10 , y = -11 therefore D = (10 , -11) . (D) Let the fourth vertex be D(x , y) . we know that the diagonals of a parallelogram bisect each other .

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RD SHARMA-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
  1. Solve: x+y=a+b a x-b y=a^2-b^2

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  2. (xy)/(x+y)=6/5 (xy)/(y-x)=6

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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