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Express x in terms of y where 6*x+7*y=-10

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Numerical solution:

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The solution

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6*x + 7*y = -10
$$6 x + 7 y = -10$$
Detail solution
Given the linear equation:
6*x+7*y = -10

Looking for similar summands in the left part:
6*x + 7*y = -10

Move the summands with the other variables
from left part to right part, we given:
$$6 x = - 7 y - 10$$
Divide both parts of the equation by 6
x = -10 - 7*y / (6)

We get the answer: x = -5/3 - 7*y/6
Rapid solution [src]
       5   7*re(y)   7*I*im(y)
x1 = - - - ------- - ---------
       3      6          6    
$$x_{1} = - \frac{7 \operatorname{re}{\left(y\right)}}{6} - \frac{7 i \operatorname{im}{\left(y\right)}}{6} - \frac{5}{3}$$
x1 = -7*re(y)/6 - 7*i*im(y)/6 - 5/3