Question

For what value of 't' the following pair of linear equations has a no solution?
2x - ty = 5 and 3x + 2y = 11​

Answer 1

for the equations of type

ax+by=c

dx+ey=f

to have no soln. then

$\frac{a}{d} = \frac{b}{e} =(not \: equal \: to) \frac{c}{f} \\ in \: this \: case \\ a = 2 . \: \: b = - t. \: \: \: c = 5 \\ d = 3. \: \:e = 2. \: \: \: f = 11 \\ therefore \\ \frac{2}{3} = \frac{ - t}{2} \\ t = - \frac{4}{3}$