(x-4)*(y-7)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
(x-4)*(y-7) = 0
Expand expressions:
28 - 7*x - 4*y + x*y = 0
Reducing, you get:
28 - 7*x - 4*y + x*y = 0
Move free summands (without x)
from left part to right part, we given:
$$x y - 7 x - 4 y = -28$$
Move the summands with the other variables
from left part to right part, we given:
$$x y + \left(-7\right) x = 4 y - 28$$
Divide both parts of the equation by (-7*x + x*y)/x
x = -28 + 4*y / ((-7*x + x*y)/x)
We get the answer: x = 4
Sum and product of roots
[src]
$$4$$
$$4$$
$$4$$
$$4$$