Express x in terms of y where -13*x+5*y=-16
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The solution
Detail solution
Given the linear equation:
-13*x+5*y = -16
Looking for similar summands in the left part:
-13*x + 5*y = -16
Move the summands with the other variables
from left part to right part, we given:
$$- 13 x = - 5 y - 16$$
Divide both parts of the equation by -13
x = -16 - 5*y / (-13)
We get the answer: x = 16/13 + 5*y/13
16 5*re(y) 5*I*im(y)
x1 = -- + ------- + ---------
13 13 13
$$x_{1} = \frac{5 \operatorname{re}{\left(y\right)}}{13} + \frac{5 i \operatorname{im}{\left(y\right)}}{13} + \frac{16}{13}$$
x1 = 5*re(y)/13 + 5*i*im(y)/13 + 16/13