Question

find the value of k for which the system 3x+ky=7;2x-5y=1 will have infinitely many solution

Answer 1

Answer:

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Answer 2

Concept introduction:

A system is made up of several interconnected or interacting parts that behave in a predetermined way to generate a coherent whole. A system's limits, structure, and purpose, as well as how it functions, all depend on and are impacted by its surroundings.

Given:

Here it is given that the two equations are $3x+ky=7;2x-5y=1$.

To find:

We have to find the value of $k$.

Solution:

According to the problem, we knew that

$\frac{a1}{a2}= \frac{b1}{b2}= \frac{c1}{c2}$

So,

$\frac{3}{2} =-\frac{k}{5} \\k=-\frac{15}{2}$          or,  $-\frac{k}{5} =7\\k=-35$

Final answer:

The final answer of the question is $-15/2$ or $-35$.

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