Answer:
z = -12
Step-by-step explanation:
Rewritting the equations, we have:
x + y = xy (eq1)
2x + 2z = xz (eq2)
3y + 3z = yz (eq3)
From the first equation:
x = y/(y-1) (eq4)
From the third equation:
y = 3z/(z - 3) (eq5)
Using the value of y from (eq5) in (eq4), we have:
x = [3z/(z - 3)] / [3z/(z - 3) - 1]
x = [3z/(z - 3)] / [(3z - z + 3)/(z - 3)]
x = 3z / (2z + 3) (eq6)
Using the value of x from (eq6) in (eq2), we have:
6z / (2z + 3) + 2z = (3z / (2z + 3))*z
(6z + 4z^2 + 6z) / (2z + 3) = 3z^2 / (2z + 3)
12z + 4z^2 = 3z^2
z^2 = -12z
z = -12
-6 + 5
= -1.
Regards............
The answer would be the top right graph where none of the lines intersect since it shows that there is no possible real solutions for the system if none of the lines intersect on a certain point.
Remember: If the lines intersect, there is a solution; if the lines do not intersect, there is no solution; if the lines fall on the same line, or the equations are equivalent, then the solution is all real numbers.
To draw the 2 dimensional representation, we just "open" the box and flatten it. Once we have it opened, we find the area of each side and add them up for the total surface area. See the pic. Let me know if you have questions. :)
Answer:
1. has a common factor of 2
2. has a common dividend of 2
3. has a common difference of -10
Number patterns 1 and 2 are geometric sequences so that is why they contain a common factor or dividend
Number pattern 3 is an arithmetic sequence which is why it has a common difference (substracting instead of multiplying or dividing like the first two)
Hope this helps!