Express x in terms of y where 10*x-8*y=3
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
10*x-8*y = 3
Looking for similar summands in the left part:
-8*y + 10*x = 3
Move the summands with the other variables
from left part to right part, we given:
$$10 x = 8 y + 3$$
Divide both parts of the equation by 10
x = 3 + 8*y / (10)
We get the answer: x = 3/10 + 4*y/5
3 4*re(y) 4*I*im(y)
x1 = -- + ------- + ---------
10 5 5
$$x_{1} = \frac{4 \operatorname{re}{\left(y\right)}}{5} + \frac{4 i \operatorname{im}{\left(y\right)}}{5} + \frac{3}{10}$$
x1 = 4*re(y)/5 + 4*i*im(y)/5 + 3/10