1.

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

Answer»

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


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