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slava [35]
2 years ago
14

Solve the system of equation using substitution ×=5y-37 ×+2y=26

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
8 0
Answer to Question 5:
y = 5
x = 10

Answer to the Above question:
x = 5y - 37      (1)
x + 2y = 26     (2)

Substitute x into equation 2, therefore;
(5y - 37) + 2y = 26
simplify
7y - 37 = 26
7y = 63
y = 9
Then substitute y=9 into any equation (choosing the easiest to solve which is equation 1), in order to find a solution for the x-value.
Thus,
x = 5(9) - 37
x = 45 - 37
x = 8
The answer is,
y=9, x=8 
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Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.

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The formula for term of arithmetic sequence is:

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We plug in 40 into n and find the hours left:

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THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.

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