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0.3193=(y-4.46)/(7.58-4.46) equation

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Numerical solution:

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The solution

You have entered [src]
              223 
          y - --- 
               50 
0.3193 = ---------
         379   223
         --- - ---
          50    50
$$0.3193 = \frac{y - \frac{223}{50}}{- \frac{223}{50} + \frac{379}{50}}$$
Detail solution
Given the linear equation:
0.3193 = (y-(223/50))/((379/50)-(223/50))

Expand brackets in the right part
0.3193 = y+223/50)/379/50-223/50)

Move free summands (without y)
from left part to right part, we given:
$$0 = \frac{25 y}{78} - 1.74878717948718$$
Move the summands with the unknown y
from the right part to the left part:
$$\frac{\left(-25\right) y}{78} = -1.74878717948718$$
Divide both parts of the equation by -25/78
y = -1.74878717948718 / (-25/78)

We get the answer: y = 5.456216
The graph
Sum and product of roots [src]
sum
5.45621600000000
$$5.456216$$
=
5.45621600000000
$$5.456216$$
product
5.45621600000000
$$5.456216$$
=
5.45621600000000
$$5.456216$$
5.45621600000000
Rapid solution [src]
y1 = 5.456216
$$y_{1} = 5.456216$$
y1 = 5.456216
Numerical answer [src]
y1 = 5.456216
y1 = 5.456216