Question

For what value of k, does the pair of
equations kx +2y =5 and 12x +8y =20 are
infinitely many solutions.
a. 3
b. 8
C. 6
d. 4​

Answer 1

Answer:

sorry don't know the answer

Answer 2

Answer:

The value of k is 3.

Step-by-step explanation:

To find: Value of k

Given,

kx +2y =5; 12x +8y =20.

A pair of equations have infinitely any solutions if;

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

where, a is the coefficient of x;

            b is the coefficient of y;

            c is the coefficient of constant.

So, from the given equations;

$\frac{k}{12} = \frac{2}{8}= \frac{-5}{-20} \\\frac{k}{12} = \frac{1}{4}= \frac{1}{4} \\\\\frac{k}{12} = \frac{1}{4}$

k = 12/4

⇒ k = 3.

The value of k is 3.

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