Express x in terms of y where 6*x-7*y=-10
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The solution
Detail solution
Given the linear equation:
6*x-7*y = -10
Looking for similar summands in the left part:
-7*y + 6*x = -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
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