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Express x in terms of y where 5*x+3*y=10

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Numerical solution:

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The solution

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5*x + 3*y = 10
$$5 x + 3 y = 10$$
Detail solution
Given the linear equation:
5*x+3*y = 10

Looking for similar summands in the left part:
3*y + 5*x = 10

Move the summands with the other variables
from left part to right part, we given:
$$5 x = 10 - 3 y$$
Divide both parts of the equation by 5
x = 10 - 3*y / (5)

We get the answer: x = 2 - 3*y/5
Rapid solution [src]
         3*re(y)   3*I*im(y)
x1 = 2 - ------- - ---------
            5          5    
$$x_{1} = - \frac{3 \operatorname{re}{\left(y\right)}}{5} - \frac{3 i \operatorname{im}{\left(y\right)}}{5} + 2$$
x1 = -3*re(y)/5 - 3*i*im(y)/5 + 2