Simplify √100/√4x^2. brainiest to the first correct answer

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Ответ:

hunterbetterton1

21.11.2022

Mathematics

k=3

Step-by-step explanation:

The given system of equations are

9x+ky=24

kx+y=8

We need to find the value of k if the given system of equation have infinite number of solutions.

If two equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 have infinite number of solutions, then

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$

Using this we get

$\dfrac{9}{k}=\dfrac{k}{1}=\dfrac{-24}{-8}$

$\dfrac{9}{k}=\dfrac{k}{1}=3$

$\dfrac{k}{1}=3$

k=3

Therefore, the value of k is 3.

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