Express x in terms of y where 2*x-9*y=10
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
2*x-9*y = 10
Looking for similar summands in the left part:
-9*y + 2*x = 10
Move the summands with the other variables
from left part to right part, we given:
$$2 x = 9 y + 10$$
Divide both parts of the equation by 2
x = 10 + 9*y / (2)
We get the answer: x = 5 + 9*y/2
9*re(y) 9*I*im(y)
x1 = 5 + ------- + ---------
2 2
$$x_{1} = \frac{9 \operatorname{re}{\left(y\right)}}{2} + \frac{9 i \operatorname{im}{\left(y\right)}}{2} + 5$$
x1 = 9*re(y)/2 + 9*i*im(y)/2 + 5