Express x in terms of y where 4*x-5*y=10
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
4*x-5*y = 10
Looking for similar summands in the left part:
-5*y + 4*x = 10
Move the summands with the other variables
from left part to right part, we given:
$$4 x = 5 y + 10$$
Divide both parts of the equation by 4
x = 10 + 5*y / (4)
We get the answer: x = 5/2 + 5*y/4
5 5*re(y) 5*I*im(y)
x1 = - + ------- + ---------
2 4 4
$$x_{1} = \frac{5 \operatorname{re}{\left(y\right)}}{4} + \frac{5 i \operatorname{im}{\left(y\right)}}{4} + \frac{5}{2}$$
x1 = 5*re(y)/4 + 5*i*im(y)/4 + 5/2