Answer:
x^2+6x+9
Step-by-step explanation:
expand the expression
<span>u−56=33
Add 56 to both sides
Final Answer: u = 89</span>
The <em><u>correct answer</u></em> is:
d) The system can only be dependent and consistent.
Explanation:
In order for the solution to a system of equations to be a line, this means that the lines must lie on top of one another. This means they are the same line; the system is consistent since there is at least one solution, and dependent since all of the points in one equation work for the other equations as well.
The idea here is to combine the equations into one in only one variable. The last equation is in only x and z so lets sub out y in the second.
-x - y - z = -8
8 - x - z = y
Substitute y with (8 - x - z) into the next equation.
-4x + 4(8 - x - z) + 5z = 7
-4x + 32 - 4x - 4z + 5z = 7
-8x + 32 + z = 7
The variable z is easiest to get alone; use that as substitution in the last equation.
z = 7 + 8x - 32
z = 8x - 25
Substitute z with (8x - 25)
2x + 2(8x - 25) = 4
2x + 16x - 50 = 4
18x = 4 + 50
18x = 54
x = 3
So use x = 3 in that last equation to find z.
2(3) + 2z = 4
6 + 2z = 4
2z = 4 - 6
2z = -2
z = -1
Now, use both x = 3 and z = -1 to find the final variable y.
-3 - y - (-1) = -8
-3 - y + 1 = -8
-2 - y = -8
-y = -8 + 2
-y = -6
y = 6
Solutions x,y,z = ( 3, 6, -1)
Answer:
C = 5.25 + 0.50H
Step-by-step explanation:
gah, I'm never sure how to explain my work in these sorts of problems. hopefully I was able to help anyways!
