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Dependent Pair of Linear Equations

Obtain the co...

Question

Obtain the condition for the following system of linear equations to have a unique solution

ax + by = c

lx + my = n

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Solution

$a m \neq b l$

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Similar questions

Q. Obtain the condition for the following system of linear equations to have a unique solution

ax + by = c
lx + my = n

Q. Find the condition for the following system of linear equations to have a unique solution:
ax + by = c, lx + my = n

Q. Find the condition that the system of equations

a x + b y = c

l x + m y = n

has a unique solution?

A system of linear equations is given as follows :

a_{1} x + b_{1} y + c_{1} = 0

a_{2} x + b_{2} y + c_{2} = 0

Condition for two lines to have a unique solution is,

Q. If am ≠ bl, then the system of equations

a x + b y = c l x + m y = n

(a) has a unique solution
(b) has no solution
(c) has infinitely many solutions
(d) may or may not have a solution

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Dependent Pair of Linear Equations

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