Express x in terms of y where 20*x-13*y=1
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
20*x-13*y = 1
Looking for similar summands in the left part:
-13*y + 20*x = 1
Move the summands with the other variables
from left part to right part, we given:
$$20 x = 13 y + 1$$
Divide both parts of the equation by 20
x = 1 + 13*y / (20)
We get the answer: x = 1/20 + 13*y/20
1 13*re(y) 13*I*im(y)
x1 = -- + -------- + ----------
20 20 20
$$x_{1} = \frac{13 \operatorname{re}{\left(y\right)}}{20} + \frac{13 i \operatorname{im}{\left(y\right)}}{20} + \frac{1}{20}$$
x1 = 13*re(y)/20 + 13*i*im(y)/20 + 1/20