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