Express x in terms of y where 9*x-4*y=2
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
9*x-4*y = 2
Looking for similar summands in the left part:
-4*y + 9*x = 2
Move the summands with the other variables
from left part to right part, we given:
$$9 x = 4 y + 2$$
Divide both parts of the equation by 9
x = 2 + 4*y / (9)
We get the answer: x = 2/9 + 4*y/9
2 4*re(y) 4*I*im(y)
x1 = - + ------- + ---------
9 9 9
$$x_{1} = \frac{4 \operatorname{re}{\left(y\right)}}{9} + \frac{4 i \operatorname{im}{\left(y\right)}}{9} + \frac{2}{9}$$
x1 = 4*re(y)/9 + 4*i*im(y)/9 + 2/9