Express x in terms of y where -10*x+15*y=-11
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
-10*x+15*y = -11
Looking for similar summands in the left part:
-10*x + 15*y = -11
Move the summands with the other variables
from left part to right part, we given:
$$- 10 x = - 15 y - 11$$
Divide both parts of the equation by -10
x = -11 - 15*y / (-10)
We get the answer: x = 11/10 + 3*y/2
11 3*re(y) 3*I*im(y)
x1 = -- + ------- + ---------
10 2 2
$$x_{1} = \frac{3 \operatorname{re}{\left(y\right)}}{2} + \frac{3 i \operatorname{im}{\left(y\right)}}{2} + \frac{11}{10}$$
x1 = 3*re(y)/2 + 3*i*im(y)/2 + 11/10