You can start by subtracting different equations from each other.
3x + 2y + 3z = 1
subtract
3x + 2y + z = 7
2z = -6
divide by 2
z = -3
add the following two expressions together:
3x + 2y + z = 7
3x + 2y + 3z =1
6x + 4y + 4z = 8
subtract the following two expressions:
6x + 4y + 4z = 8
5x + 5y + 4z = 3
x - y = 5
^multiply the whole equation above by 3
3x - 3y = 15
subtract the following two expressions:
3x - 3y = 15
3x + 2y = 10
-5y = 5
divide each side by -5
y=-1
take the following expression from earlier:
x - y = 5
substitute y value into above equation
x - - 1 = 5
2 negatives make a positive
x + 1 = 5
subtract 1 from each side
x = 4
Therefore x = 4, y = -1, z = -3
I checked these with all 3 equations and they worked :)
(it's quite complicated, comment if you don't understand anything) :)
Answer:
E) 9/12
Step-by-step explanation:
well first you need to know the number of non-red objects. There are 12 total so 12-3=9 non-red objects
9 out of 12 are non-red which is the exact same as the number of chances you have. 9/12
Improper because the top is supposed to be lower than the bottom
Answer:
16 (1+2)
Step-by-step explanation:
factors of 16: 1,2,4,8,16
factors of 32: 1,2,4,8,16,32
16 x 1 = 16
16 x 2 = 32
