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Express x in terms of y where -17*x+18*y=10

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The solution

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-17*x + 18*y = 10
$$- 17 x + 18 y = 10$$
Detail solution
Given the linear equation:
-17*x+18*y = 10

Looking for similar summands in the left part:
-17*x + 18*y = 10

Move the summands with the other variables
from left part to right part, we given:
$$- 17 x = 10 - 18 y$$
Divide both parts of the equation by -17
x = 10 - 18*y / (-17)

We get the answer: x = -10/17 + 18*y/17
Rapid solution [src]
       10   18*re(y)   18*I*im(y)
x1 = - -- + -------- + ----------
       17      17          17    
$$x_{1} = \frac{18 \operatorname{re}{\left(y\right)}}{17} + \frac{18 i \operatorname{im}{\left(y\right)}}{17} - \frac{10}{17}$$
x1 = 18*re(y)/17 + 18*i*im(y)/17 - 10/17