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