Answer:
-19k ≠ 0
No solutions
Step-by-step explanation:
k/4 - 5k + 1 = 1
4 (k/4 - 5k + 1 = 1)
k-20k + 4 = 4
-19k ≠ 0
Answer: 27
Step-by-step explanation:
The given sequence : 13, 24, 35, ....
Here, first term : a= 13
Common difference: d=24-13 =11
The nth term of arithmetic sequence is given by :-

It is given that the nth term is 299, so put

Subtract 13 from both sides , we get

Divide both sides by 11, we get

Add 1 on both sides , we get

Hence, the value of n= 27
Maybe, the price went down $20 eight times?
For the first system, we have
1 - 3x + 3y = -8
or
-3x + 3y = -9
The second equation, however, tells us
-3x + 3y = 13
but -9 ≠ 13, so this system has no solution.
For the second system, notice that multiplying both sides of
4x - 8y = 6
by 1/2 gives
2x - 4y = 3
which is identical to the other equation in the system. Then all point (x, y) that lie on this line are solutions to the system, meaning there are infinitely many solutions.