Express x in terms of y where -4*x+7*y=-16
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
-4*x+7*y = -16
Looking for similar summands in the left part:
-4*x + 7*y = -16
Move the summands with the other variables
from left part to right part, we given:
$$- 4 x = - 7 y - 16$$
Divide both parts of the equation by -4
x = -16 - 7*y / (-4)
We get the answer: x = 4 + 7*y/4
7*re(y) 7*I*im(y)
x1 = 4 + ------- + ---------
4 4
$$x_{1} = \frac{7 \operatorname{re}{\left(y\right)}}{4} + \frac{7 i \operatorname{im}{\left(y\right)}}{4} + 4$$
x1 = 7*re(y)/4 + 7*i*im(y)/4 + 4