10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

The pair of linear equations \[\text{2x}+\text{3y}=\text{5}\] and \[\text{4x}+\text{6y}=\text{1}0\] is:

A) inconsistent

B) consistent

C) dependent consistent

D) None of these

Correct Answer: C

Solution :

[c] Compare \[\frac{{{a}_{1}}}{{{a}_{2}}},\,\frac{{{b}_{1}}}{{{b}_{2}}}\] and \[\frac{{{c}_{1}}}{{{c}_{2}}}\].

we get, \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}=\frac{1}{2}\]