Find the value of p and q for which the system of equations, Mathematics

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







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
Related Questions
A speaks truth in 80% of the cases and B speaks truth in 60% of the cases.  Find out the probability of the cases of which they are possible to contradict each other in stating sim

Financial institutions often create synthetic instruments out of existing instruments.  In this case an investment bank plans to buy Treasury Bonds with 20-year maturities at their

Your grandparents gave you a gift of R2 000 on your 16th birth day. You want to invest the money in an account over four years. You have an option of investing the R2 000 at 8% per

what is the derivatives of y=u/5+7 and u=5x-35 using the chain rule?


What is 2 1/9 - 4 1/2

The sum of areas of two squares is 468m 2  If the difference of their perimeters is 24cm, find the sides of the two squares. Ans:    Let the side of the larger square be x .

what is quantity ?


Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)