Question

The pair of linear equations $x-2y=0$ and $3x+4y=20$ have:

• A. One solution
• B. Two solutions
• C. Many solutions
• D. No solution

Answer 1

Answer: (A)

One solution

Solution:- (A) one solution

For the given pair of equations $x-2y=0$ and $3x+4y=20$;

$\frac{a_1}{a_2}=\frac{1}{3}$

$\frac{b_1}{c_2}=\frac{-2}{4}=\frac{-1}{2}$

$\frac{c_1}{c_2}=\frac{0}{-20}=0$

As the given pair of linear equation satisfies $\frac{a_1}{a_2}\ne \frac{b_1}{b_2}$,

The graph will be a pair of lines intersecting at a unique point, which is the solution of the pair of equations.