Answer: The set does not have a solution
Step-by-step explanation:
Adding Equations 1 & 3 we get 5x = 7. This gives x = 7/5
Putting this value of x in eq. 2 we get
-2y + 2z = -1-(7/5) or
2y - 2z = 12/5 or 5y - 5z = 6
Multiplying eq. 1 by 2 we get
4x + 2y - 2z = 6
adding this with eq. 2 we get 5x = 5 or x = 1
As the common solution for x from equations 1&3 does not satisfy eq. 1&2 it comes out that the three equations do not have a common solution.
Same can be verified by using different sets of two equations also.
Answer:
8.4*10^-3
Step-by-step explanation:
Move the decimal point 3 places in order to get a number in the one's place.
We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .
We know that a term in an AP is generally represented as:

where,
- a = the first term in the sequence
- n = the number of the term/number of terms
- d = difference between two terms
We need to find
.
From the given progression, we have:
- a = -24
- n = 23
- d = (-24 - (-4) = -20
Using these in the formula,

Therefore, the 23rd term in the AP is -464.
Hope it helps. :)
Z+22/z = 12
z+22=12z
22=11z
2=z
Hope this helps. Just say if you need more of an explanation.
Answer:
X=12
Step-by-step explanation:
Add the two equations together and equate them to 180 due to the geometrical reason that angles on a straight line add up to 180.
10X-20+6X+8=180 (collect like terms)
10X+6X=180-8+20
16X=192 (Divide both sides by 16)
X=12
Hope that helps :)