find relation between p and q if x=3,y=1 is asolution of a pair of lines x-4y+p=0 and 2x+y-q-2=0 - Maths - Pair of Linear Equations in Two Variables

Question

find relation between p and q if x=3,y=1 is asolution of a pair
of lines x-4y+p=0 and 2x+y-q-2=0

Manbar Singh · Accepted Answer

The given equations are :x-4y+p = 0 12x+y-q-2 = 0 2Since, 3, 1 is
the solution of 1, then it must satisfy it x-4y+p = 0⇒3 - 41
+ p = 0⇒3 - 4 + p = 0⇒-1 + p = 0⇒p = 1 Since, 3,
1 is the solution of 2, then it must satisfy it 2x+y-q-2 =
0⇒23 + 1 - q - 2 = 0⇒6 + 1 - q - 2 = 0⇒5 - q =
0⇒q = 5