Express x in terms of y where -4*x-5*y=10
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The solution
Detail solution
Given the linear equation:
-4*x-5*y = 10
Looking for similar summands in the left part:
-5*y - 4*x = 10
Move the summands with the other variables
from left part to right part, we given:
$$- 4 x = 5 y + 10$$
Divide both parts of the equation by -4
x = 10 + 5*y / (-4)
We get the answer: x = -5/2 - 5*y/4
5 5*re(y) 5*I*im(y)
x1 = - - - ------- - ---------
2 4 4
$$x_{1} = - \frac{5 \operatorname{re}{\left(y\right)}}{4} - \frac{5 i \operatorname{im}{\left(y\right)}}{4} - \frac{5}{2}$$
x1 = -5*re(y)/4 - 5*i*im(y)/4 - 5/2