True or False Let and be real numbers

MATHEMATICS · Subjective · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

59. True or False Let

a

and

b

be real numbers. The following system of equations can have exactly two solutions:

\begin{aligned} & 2 x+5 y=a \\ & 3 x-4 y=b \end{aligned}

Justify your answer.