Question

simultaneous linear equations 7/2x+2y=5

Answer 1

Step-by-step explanation:

Correct option is

A

True

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.