Express x in terms of y where -10*x+9*y=-6
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
-10*x+9*y = -6
Looking for similar summands in the left part:
-10*x + 9*y = -6
Move the summands with the other variables
from left part to right part, we given:
$$- 10 x = - 9 y - 6$$
Divide both parts of the equation by -10
x = -6 - 9*y / (-10)
We get the answer: x = 3/5 + 9*y/10
3 9*re(y) 9*I*im(y)
x1 = - + ------- + ---------
5 10 10
$$x_{1} = \frac{9 \operatorname{re}{\left(y\right)}}{10} + \frac{9 i \operatorname{im}{\left(y\right)}}{10} + \frac{3}{5}$$
x1 = 9*re(y)/10 + 9*i*im(y)/10 + 3/5