43rd B.P.S.C. (Pre) 1999
Select of value of such that $2x + ay = 1$ and $3x - 5y =7$ has no solution?
a$\frac{3}{10}$
b$-\frac{10}{3}$✓ Correct
c$\frac{10}{3}$
d$-\frac{3}{10}$
Explanation
Given that, $2x + ay = 1$ and $3x - 5y = 7$ Condition for the equation which has no solution $ax + by + c = 0$ ......... (i) $dx + ey + f = 0$ ......... (ii) than $\frac{a}{d} = \frac{b}{e} \neq \frac{c}{f}$ According to question, $2x + ay = 1$ and $3x - 5y = 7$ Now, $\frac{2}{3} = \frac{a}{-5} \neq \frac{1}{7}$ $a = -\frac{10}{3}$
general-mental-ability
