Answer: x=-1, y=2, z=-3
Step-by-step explanation:
[1] 2x + 3y - 4z = 16
[2] -x + 2y - z = 8
[3] 2x - y - 2z = 2
Solve by Substitution :
Solve equation [3] for the variable y
[3] y = 2x - 2z - 2
Plug this in for variable y in equation [1]
2x + 3•(2x-2z-2) - 4z = 16
8x - 10z = 22
Plug this in for variable y in equation [2]
-x + 2•(2x-2z-2) - z = 8
3x - 5z = 12
Solve equation [2] for the variable x
3x = 5z + 12
x = 5z/3 + 4
Plug this in for variable x in equation [1]
8•(5z/3+4) - 10z = 22
10z/3 = -10
10z = -30
Solve equation for the variable z
10z = - 30
z = - 3
By now we know this much :
x = 5z/3+4
y = 2x-2z-2
z = -3
Use the z value to solve for x
x = (5/3)(-3)+4 = -1
Use the x and z values to solve for y
y = 2(-1)-2(-3)-2 = 2
Given:
The inequalities are:
To find:
The range of values of for the given inequalities.
Solution:
We have,
Adding 3 on both sides, we get
Divide both sides by 2.
...(i)
The second inequality is:
Subtracting 1 from both sides, we get
Adding on both sides, we get
Divide both sides by 5.
...(ii)
Using (i) and (ii), we get
Therefore, the required range is .
Answer:
-0.28, 1.78
Step-by-step explanation:
Plug it into a graphing calculator and see you have -0.281 as a intersection as well as 1.781. Then you round to the nearest hundred and get -0.28 and 1.78.
1/4= 2/8
3/8 + 2/8 = 5/8
Therefore, 3/8 of the playground is left for the swings and play equipment