Express x in terms of y where 18*x-12*y=18
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
18*x-12*y = 18
Looking for similar summands in the left part:
-12*y + 18*x = 18
Move the summands with the other variables
from left part to right part, we given:
$$18 x = 12 y + 18$$
Divide both parts of the equation by 18
x = 18 + 12*y / (18)
We get the answer: x = 1 + 2*y/3
2*re(y) 2*I*im(y)
x1 = 1 + ------- + ---------
3 3
$$x_{1} = \frac{2 \operatorname{re}{\left(y\right)}}{3} + \frac{2 i \operatorname{im}{\left(y\right)}}{3} + 1$$
x1 = 2*re(y)/3 + 2*i*im(y)/3 + 1