Question

in the system of equation 2x+3y=5 and 4x+ky=10 has infinitely many solutions. find the value of k
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Answer 1

Step-by-step explanation:

$For \: infinitely \: many \:solutions,$

$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$

$\implies \frac{2}{4} = \frac{3}{k} = \frac{5}{10}$

$\implies \frac{1}{2} = \frac{3}{k}$

$\implies k = 2×3$

$\implies k = 6$