What is the solution of the system?
2 answers:
Answer:
Option A is correct
Step-by-step explanation:
Given the system of equations:
......[1]
.....[2]
Multiply equation [2] by 2 to both sides we have;
......[3]
Subtract [1] from [3] to eliminate x we have;
Combine like terms;
Substitute this in [1] we have;
Subtract 12 from both sides we have;
4x = -6
Divide both sides by 4 we get;
therefore, the solution of the given system of equations is:
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Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = -
=
-
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
--------------------------------------------------------
The n th term of an arithmetic sequence is
=
+ (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39