Answer:
No solution
Step-by-step explanation:
Note how "2x" shows up in both equations. This suggests doing a substitution to solve the system.
Focus first on the first equation. Solving 2x - y = 7 for 2x, we get:
2x = y + 7.
Next, we substitute y + 7 for 2x in the second equation:
y = (y + 7) + 3.
Simplifying this produces:
0 = 10
This is not true and can never be true. Thus, this system has no solution.
Answer:
651.
Step-by-step explanation:
Note: In the given series it should be -29 instead of 29 because 29 cannot be a term of AP whose first term is 91 and common difference is -6.
Consider the given series is
It is the sum of an AP. Here,
First term = 91
Common difference = 85 - 91 = -6
Last term = -29
nth term of an AP is
where, a is first term and d is common difference.
Sum of AP is
![Sum=\dfrac{n}{2}[\text{First term + Last term}]](https://tex.z-dn.net/?f=Sum%3D%5Cdfrac%7Bn%7D%7B2%7D%5B%5Ctext%7BFirst%20term%20%2B%20Last%20term%7D%5D)
![Sum=\dfrac{21}{2}[91+(-29)]](https://tex.z-dn.net/?f=Sum%3D%5Cdfrac%7B21%7D%7B2%7D%5B91%2B%28-29%29%5D)
![Sum=\dfrac{21}{2}[62]](https://tex.z-dn.net/?f=Sum%3D%5Cdfrac%7B21%7D%7B2%7D%5B62%5D)
Therefore, the sum of given series is 651.
Answer:
141 km
Step-by-step explanation:
This is because as the boat travels at a constant speed, it will travel the same distance each hour. The boat travels at 35.25 km/h, so you must multiply this number by 4.
This gets the answer 141 km.
