Question

27.
The pair of linear equations 2x+5y=7 and 4x+10y=7 are:

Consistent pair of equations
Inconsistent pair of equations
Dependent consistent pair of equations
None of these​

Answer 1

EXPLANATION.

• GIVEN

The pair of linear equation

=> 2x + 5y = 7 .......(1) and

=> 4x + 10y = 7 .......(2)

To find out the system are :-

1) = consistent pair of equation.

2) = inconsistent pair of equation.

3) = Dependent consistent pair of

equation.

4) = None of these.

According to the question,

=> 2x + 5y - 7 = 0 ......(1)

=> 4x + 10y - 7 = 0 .......(2)

From equation (1) and (2) we get,

=> A1 = 2 , B1 = 5 , C1 = -7

=> A2 = 4 , B2 = 10 , C2 = -7

$= > \: \: \: \bold{ \frac{A1}{A2} = \frac{B1}{B2} = \frac{C1}{C2} }$

$= > \: \: \bold{\frac{1}{2} = \frac{1}{2} \ne \frac{1}{1} }$

Therefore,

we have no solution

So, our system is inconsistent.

Hence,

Option [2] is correct