Express x in terms of y where -8*x+12*y=0
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
-8*x+12*y = 0
Looking for similar summands in the left part:
-8*x + 12*y = 0
Move the summands with the other variables
from left part to right part, we given:
$$- 8 x = - 12 y$$
Divide both parts of the equation by -8
x = -12*y / (-8)
We get the answer: x = 3*y/2
3*re(y) 3*I*im(y)
x1 = ------- + ---------
2 2
$$x_{1} = \frac{3 \operatorname{re}{\left(y\right)}}{2} + \frac{3 i \operatorname{im}{\left(y\right)}}{2}$$
x1 = 3*re(y)/2 + 3*i*im(y)/2