Question

3. Consider the following pairs of linear equations
3x + 2y = 5; 2x + 3y = 5
(ii) 2x - 3y =7; 2x - 3y = 8
Choose the correct alternative.
(a)
The pairs in () and (ii) are consistent
(b)
The pairs in (i) and (ü) are inconsistent.​

Answer 1

Step-by-step explanation:

ANSWER

Iftherearetwoequationsasa

1

x+b

1

y+c

1

=0&

a

2

x+b

2

y+c

2

=0and

a

2

a

1



=

b

2

b

1

thentheequationsare

consistentandtheyhaveauniquesolution.

Heretheequationsare3x+2y−5=0&2x−3y−7=0.

∴a

1

=3,b

1

=2,c

1

=−5,

a

2

=2,b

2

=−3,c

2

=−7.

So

a

2

a

1

=

2

3

and

b

2

b

1

=

−3

2

.

i.e

a

2

a

1



=

b

2

b

1

.

∴Thegivenequationsareconsistentandthey

haveauniquesolution.

Sothegivenassertionistrue.

Ans−OptionA.

Answer 2

Answer:

I hope this answer is correct

Step-by-step explanation:

Opt A is correct