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Express x in terms of y where -7*x+5*y=-17

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Numerical solution:

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The solution

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-7*x + 5*y = -17
$$- 7 x + 5 y = -17$$
Detail solution
Given the linear equation:
-7*x+5*y = -17

Looking for similar summands in the left part:
-7*x + 5*y = -17

Move the summands with the other variables
from left part to right part, we given:
$$- 7 x = - 5 y - 17$$
Divide both parts of the equation by -7
x = -17 - 5*y / (-7)

We get the answer: x = 17/7 + 5*y/7
Rapid solution [src]
     17   5*re(y)   5*I*im(y)
x1 = -- + ------- + ---------
     7       7          7    
$$x_{1} = \frac{5 \operatorname{re}{\left(y\right)}}{7} + \frac{5 i \operatorname{im}{\left(y\right)}}{7} + \frac{17}{7}$$
x1 = 5*re(y)/7 + 5*i*im(y)/7 + 17/7