4x=20-8y
x=5-2y now use this value of x in the second equation...
3(5-2y)+6y=15
15-6y+6y=15
15=15 This is true for any y or x value.
So there are infinitely many solutions as the two equations describe the same line.
The explicit rule for given sequence is:

Further explanation:
We have to determine first of all if the sequence is arithmetic or geometric.
- If the difference of two consecutive terms is same then the sequence is arithmetic sequence
- If the ratio of two consecutive terms is same then the sequence is geometric sequence
Given sequence is:
12,22,32,42

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.
The general formula for arithmetic sequence is:

Putting the values of a1 and d

The explicit rule for given sequence is:

Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
First you distributive property:
3x-15=9
Add 15
3x=24
Divide
x=8
Answer:
x>±4
x<±1
Step-by-step explanation:
Given the inequalities
x² > 16
Square root both sides
√x² > ±√16
x > ±4
The solution is x>±4
2) x² < 1
Square root both sides
√x² <±√1
x < ±1
Hence the solution is x<±1