Find the value of p and q for which the system of equations represent coincident lines 2x +3y = 7, (p+q+1)x +(p+2q+2)y = 4(p+q)+1

Ans: a₁  = 2, b₁ = 3, c₁ = 7

a²  = p + q + 1 , b² = p + 2q + 2 , c² = (p + q )+ 1

For the following system of equation the condition must be

a₁/a₂ = b₁/b₂ =c₁/c₂

 

 

 

=> 2/p+q+1 = 3/ p + q +2 =  7 /4(p+q)+1

 

=>  2/p+q+1 = 7 /4(p+q)+1

 

7p +14q + 14 = 12p + 12q + 3

= 5p - 2q - 11 = 0    ----------------(2)

p + q + - 5 = 0

5p - 2q - 11 = 0

From (1) and (2)

5p + 5q - 25 = 0

5p - 2q - 11 = 0

Solve it, to get  q = 2

Substitute value of q in equation (1)

p + q - 5 = 0

On solving we get, p = 3 and q = 2

Posted Date: 4/8/2013 2:35:46 AM | Location : United States

Ask an Expert

Related Discussions:- Find the value of p and q for which the system of equations, Assignment Help, Ask Question on Find the value of p and q for which the system of equations, Get Answer, Expert's Help, Find the value of p and q for which the system of equations Discussions

Write discussion on Find the value of p and q for which the system of equations
Your posts are moderated

Write your message here..

Related Questions

Determine the ratio in which the line 2x + y -4 = 0, Determine the ratio in... Determine the ratio in which the line 2x + y -4 = 0 divide the line segment joining the points A (2,-2) and B (3, 7).Also find the coordinates of the point of division. [Ans:2 :

Characteristic, mention the characteristic of mathematic mention the characteristic of mathematic

Show me how to solve problem, the amount required to raise 25 lb of water 1... the amount required to raise 25 lb of water 15 of

What is the volume of the frustum, If the areas of the circular bases of a ... If the areas of the circular bases of a frustum of a cone are 4cm 2 and 9cm 2 respectively and the height of the frustum is 12cm. What is the volume of the frustum. (Ans:44cm 2 )

Demonstrate that dijkstra algorithm - digraph, Demonstrate that Dijkstra's ... Demonstrate that Dijkstra's algorithm does not necessarily work if some of the costs are negative by finding a digraph with negative costs (but no negative cost dicircuits) for whi

Explain histogramsin details, Explain Histogramsin details? Another way... Explain Histogramsin details? Another way to display frequencies is by using a histogram. The following is an example of a histogram using the data from the previous example:

Geometry, geometry fbw = 128 saf= 104 what is rfd geometry fbw = 128 saf= 104 what is rfd

Explain venn diagrams, Q. Explain Venn diagrams? Ans. Venn diagram... Q. Explain Venn diagrams? Ans. Venn diagrams, named after the Englishman John Venn, are "area" or "region" diagrams that can be used to help visualize and organize differe

Relation between hieght, volume=(1/3)(pi)(radius of base)2(height) curved ... volume=(1/3)(pi)(radius of base)2(height) curved surface area=(pi)(r)(l), r is radius of base and l is length of straight line connecting apex of cone with point on edge of base

Roman numerals, what is 15,909 in roman numeral what is 15,909 in roman numeral