MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

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

Open in App

Solution

$a m \neq b l$

Suggest Corrections

thumbs-up

1

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

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Graphical Solution

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Dependent Pair of Linear Equations

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon