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Express x in terms of y where 7*x-4*y=-5

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Numerical solution:

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The solution

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7*x - 4*y = -5
$$7 x - 4 y = -5$$
Detail solution
Given the linear equation:
7*x-4*y = -5

Looking for similar summands in the left part:
-4*y + 7*x = -5

Move the summands with the other variables
from left part to right part, we given:
$$7 x = 4 y - 5$$
Divide both parts of the equation by 7
x = -5 + 4*y / (7)

We get the answer: x = -5/7 + 4*y/7
Rapid solution [src]
       5   4*re(y)   4*I*im(y)
x1 = - - + ------- + ---------
       7      7          7    
$$x_{1} = \frac{4 \operatorname{re}{\left(y\right)}}{7} + \frac{4 i \operatorname{im}{\left(y\right)}}{7} - \frac{5}{7}$$
x1 = 4*re(y)/7 + 4*i*im(y)/7 - 5/7