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
find the normalised differential of the following {1,x,x^3}

What is Partially Ordered Set?  Let  S = {a,b,c} and A = P(S). Draw the Hasse diagram of the poset A with the partial order ⊆ (set inclusion).   Ans: Let R be a relation define

introduction to decimals

whats 100 + 90 - 6

Do you believe the holistic marketing concept is the most effective way to conduct marketing activities? Why? (Why not?)

Graph        f ( x ) = - x 2 + 2x + 3 . Solution It is a parabola in the general form.                              f ( x ) = ax 2 + bx + c In this form, the x-coor

Proof of the Properties of vector arithmetic Proof of a(v → + w → ) = av → + aw → We will begin with the two vectors, v → = (v 1 , v 2 ,..., v n )and w? = w

A regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

Consider the following parlor game to be played between two players. Each player begins with three chips: one red, one white, and one blue. Each chip can be used only once. To beg

Find the sum of a+b, a-b, a-3b, ...... to 22 terms. Ans:    a + b, a - b, a - 3b, up to 22 terms d= a - b - a - b = 2b S22 =22/2 [2(a+b)+21(-2b)] 11[2a + 2b - 42b] =