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

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Numerical solution:

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The solution

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

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

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

We get the answer: x = -10/7 + 6*y/7
Rapid solution [src]
       10   6*re(y)   6*I*im(y)
x1 = - -- + ------- + ---------
       7       7          7    
$$x_{1} = \frac{6 \operatorname{re}{\left(y\right)}}{7} + \frac{6 i \operatorname{im}{\left(y\right)}}{7} - \frac{10}{7}$$
x1 = 6*re(y)/7 + 6*i*im(y)/7 - 10/7