Question

For what value(s) of 'a' will the equations 2x + 3y = 13 and 3x + ay = 18 have no solution?

Answer 1

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Q1) For what value of a will the equation 2x+3y=13 and 3x+ay=18

have no solution?

$\sf\huge\red{\underbrace{Answer :}}$

$\implies \bf{ \: if \: their \: is \: no \: solutions} \: we \: use \: relations$

$\: \: \implies \boxed{ \bf{ \frac{a1}{a2} = \frac{b1}{b2} = \frac{c1 }{c2} }}$

$\: \implies \bf{ \frac{2}{3} = \frac{3}{a} }$

$\: \implies \bf{2a = 9 \: \: then \: a = \frac{9}{2} }$