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

Tied rankings, Tied Rankings A slight adjustment to the formula is mad... Tied Rankings A slight adjustment to the formula is made if several students tie and have the similar ranking the adjustment is: (t 3 - t)/12 Whereas t = number of tied

Envision math common core, how do i write a conjecture about the sum of two... how do i write a conjecture about the sum of two negative integers.

what are the coordinates of the vertex , Use the graph of y = x2 - 6x  to ... Use the graph of y = x2 - 6x  to answer the following: a)         Without solving the equation (or factoring), determine the solutions to the equation  x 2 - 6x = 0  usi

Matrices, Consider the following linear equations. x1-3x2+x3+x4-x5=8 -2x1+... Consider the following linear equations. x1-3x2+x3+x4-x5=8 -2x1+6x2+x3-2x4-4x5=-1 3x1-9x2+8x3+4x4-13x5=49

Algebra, Multiple response question.Zack puts a mug of water ni his microwa... Multiple response question.Zack puts a mug of water ni his microwave oven. He knows that the final temperature of the water will be a function of the number of seconds he heats the

Find out the roots of the subsequent pure quadratic equation, Find out the ... Find out the roots of the subsequent pure quadratic equation: Find out the roots of the subsequent pure quadratic equation. 4x 2 - 100 = 0 Solution: Using Equation

Determine rank correlation coefficient, Determine Rank Correlation Coef... Determine Rank Correlation Coefficient A group of 8 accountancy students are tested in Quantitative Techniques and Law II.  Their rankings in the two tests were as:

What is the total balance of an account after 18 months, A certain bank pay... A certain bank pays 3.4% interest per year for a certificate of deposit, or CD. What is the total balance of an account after 18 months along with an initial deposit of $1,250?

Algebra, solve for y 3x+4y=7 solve for y 3x+4y=7

Comparison-types of word problems related to subtraction, Comparison - the... Comparison - the difference between two groups or numbers, namely, how much one is greater than the other, how much more is in one group than in the other. (e.g., if Munna has