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(k-3)/4=(3k-3)/11

(k-3)/4=(3k-3)/11 equation

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Numerical solution:

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The solution

You have entered [src]
k - 3   3*k - 3
----- = -------
  4        11  
$$\frac{k - 3}{4} = \frac{3 k - 3}{11}$$
Detail solution
Given the linear equation:
(k-3)/4 = (3*k-3)/11

Expand brackets in the left part
k/4-3/4 = (3*k-3)/11

Expand brackets in the right part
k/4-3/4 = 3*k/11-3/11

Move free summands (without k)
from left part to right part, we given:
$$\frac{k}{4} = \frac{3 k}{11} + \frac{21}{44}$$
Move the summands with the unknown k
from the right part to the left part:
$$- \frac{k}{44} = \frac{21}{44}$$
Divide both parts of the equation by -1/44
k = 21/44 / (-1/44)

We get the answer: k = -21
The graph
Sum and product of roots [src]
sum
-21
$$\left(-21\right)$$
=
-21
$$-21$$
product
-21
$$\left(-21\right)$$
=
-21
$$-21$$
Rapid solution [src]
k_1 = -21
$$k_{1} = -21$$
Numerical answer [src]
k1 = -21.0
k1 = -21.0
The graph
(k-3)/4=(3k-3)/11 equation