Question

The following pair of linear equations $2x+5y=-11$ and $5x+15y=-44$ has:

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

Answer 1

The correct option is C one solution

For the given pair of equations $2x+5y=-11$ and $5x+15y=-44;$

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

$\frac{b_1}{b_2}=\frac{5}{15}=\frac{1}{3}$

$\frac{c_1}{c_2}=\frac{11}{44}=\frac{1}{4}$

As the given pair of linear equations satisfies -

$\frac{a_1}{a_2}\ne \frac{b_1}{b_2}$

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