Question

determine graphically whether the following pair of linear equations 2x+3y=24. 3x-4y=2 has i)unique solution ii)infinitely many solution iii)no solution?​

Answer 1

Answer:

2x−3y=5→2x−3y−5=0

3x+4y=−1→3x+4y+1=0

on comparing theses two equation with ax+by+c=0

a

1

=2,b

1

=−3,c

1

=−5

a

2

=3,b

2

=4,c

2

=1

a

2

a

1

=

3

2

b

2

b

1

=

4

−3

c

2

c

1

=−5

a

2

a

1



=

b

2

b

1

Therefore given pair of lines has unique solution.

Answer 2

Step-by-step explanation:

here , a1 = 2 a2= 3

b1 = 3. b2= 4

hence a1/a2 ≠ b1/b2 hence the following has a unique solution