Question

if am-bl = bn-cm = 0, then the system of equation ax +by+c = 0 and lx+my +n = 0

Answer 1

Step-by-step explanation:

Using the pair of linear equation formula

am=bl

l

a

=

m

b

ax+by−c=0

lx+my−n=0

a

2

a

1

=

l

a

b

2

b

1

=

m

b

c

2

c

1

=

−n

−c

l

a

−

m

b



=

−n

−c

a

2

a

1

=

b

2

b

1



=

c

2

c

1

∴ The pair of equation has no solutions

Answer 2

Explanation: We have, ax + by = c and lx + my = n Now, a/l = b/m ≠ c/n (given) . .. The given system of equations has no solution.Read more on Sarthaks.com - https://www.sarthaks.com/248887/if-am-bl-and-bn-cm-then-the-system-of-equations