Question

Find two solutions for each of the following. a) 3x+8y=12 b)4x+7y=7​

Answer 1

Answer:

Correct option is

A

Consistent

C

Dependent

The general form for a pair of linear equations in two variables x and y is

a

1

x+b

1

y+c

1

=0 and

a

2

x+b

2

y+c

2

=0

−4x+8y=12 -----------(1)

−2x+4y=6 ----------- (2)

Comparing equations 1 and 2 with the general form of equation to write their co-efficient,

a

1

=−4;a

2

=−2;b

1

=8;b

2

=4;c

1

=12;c

2

=6

Compare the ratio,

a

2

a

1

=

b

2

b

1

=

c

2

c

1

−2

−4

=

4

8

=

6

12

∴ 2=2=2

If

a

2

a

1

=

b

2

b

1

=

c

2

c

1

, then the pair of linear equations has infinitely many solutions.

So, it said to be consistent(dependent).

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