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Express x in terms of y where 11*x-20*y=-10

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Numerical solution:

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The solution

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11*x - 20*y = -10
$$11 x - 20 y = -10$$
Detail solution
Given the linear equation:
11*x-20*y = -10

Looking for similar summands in the left part:
-20*y + 11*x = -10

Move the summands with the other variables
from left part to right part, we given:
$$11 x = 20 y - 10$$
Divide both parts of the equation by 11
x = -10 + 20*y / (11)

We get the answer: x = -10/11 + 20*y/11
Rapid solution [src]
       10   20*re(y)   20*I*im(y)
x1 = - -- + -------- + ----------
       11      11          11    
$$x_{1} = \frac{20 \operatorname{re}{\left(y\right)}}{11} + \frac{20 i \operatorname{im}{\left(y\right)}}{11} - \frac{10}{11}$$
x1 = 20*re(y)/11 + 20*i*im(y)/11 - 10/11