Question

The pair of linear equations $-5x+2y=8$ and $2x-5y-3=0$, have

• A. no solution
• B. one solution
• C. two Solution
• D. many solution

Answer 1

Answer: (B)

one solution

Solution:- (B) one solution

For the given pair of equations $5x+2y=8$ and $2x-5y-3=0$;

$\frac{a_1}{a_2}=\frac{5}{2}$

$\frac{b_1}{c_2}=\frac{2}{5}$

$\frac{c_1}{c_2}=\frac{-8}{-3}=\frac{8}{3}$

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.