Express x in terms of y where 19*x-5*y=-16
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The solution
Detail solution
Given the linear equation:
19*x-5*y = -16
Looking for similar summands in the left part:
-5*y + 19*x = -16
Move the summands with the other variables
from left part to right part, we given:
$$19 x = 5 y - 16$$
Divide both parts of the equation by 19
x = -16 + 5*y / (19)
We get the answer: x = -16/19 + 5*y/19
16 5*re(y) 5*I*im(y)
x1 = - -- + ------- + ---------
19 19 19
$$x_{1} = \frac{5 \operatorname{re}{\left(y\right)}}{19} + \frac{5 i \operatorname{im}{\left(y\right)}}{19} - \frac{16}{19}$$
x1 = 5*re(y)/19 + 5*i*im(y)/19 - 16/19