Answer:
2x+y=−7
Step-by-step explanation:
Answer: It is consistent as the lines are intersecting lines and it has a unique solution
Step-by-step explanation:
Since we have given two systems of equation :

We need to check whether the system of equations is consistent or inconsistent.
As we know the formula for checking the consistency :

In first equation we have

similarly,
In the second equation we have

So, According to question, we have

Hence, it is consistent as the lines are intersecting lines and it has a unique solution.
Answer:
205 litres
Step-by-step explanation:
Given:
Volume of water is given as:
(in litres)
<em>m</em> is the time in minutes spent filling water in Eduardo's pool.
To find:
Volume of water in the pool after the water is filled for
minutes.
Solution:
Here, volume of water in the Pool (in litres) is given by the equation:
....... (1)
Where m is the time for which Eduardo fills the pool.
Here, we are also given that
m =
minutes =
minutes
And we have to find the value of V after
minutes.
Let us put the value of m as
minutes in the equation (1) to find the value of V.

So, the volume of water in the pool after
minutes is <em>205 litres.</em>
The number is = 6
……………………………….
Answer:
62.34
Step-by-step explanation:
Substitute n = 0 to n = 5 into the expression and sum the terms, that is
3 [
+
+
+
+
+
]
= 3 [ 1 +
+
+
+
+
]
= 3(
)
= 3 × 20.781
= 62.34 ( to the nearest hundredth )