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4 years ago

How to slove with systems of equations

Mathematics

1 answer:

juin [17]4 years ago

8 0

Answer:

$3 for Syd and $5 for Mark

Step-by-step explanation:

when Mark worked 8 hours and Syd worked 10 hours they earned $80

when Mark worked 9h Syd worked 5h they earned $65

we can make a equation out of these information

8M + 10S = $80

9M + 5S = $65 we can use the systems of equations by eliminating method

multiply second equation by -2

-2 × (9M + 5S) = $65

-18M - 10S = -$130 now add up the new equation with the first one

8M + 10S - 18M - 10S = $80 - $130 (10S will eliminate -10S)

-10M = -$50

10M = $50

M = $5

we can use hourly rate we found for M (Mark) to find the hourly rate for S (Syd)

9×5 + 5S = $65

45 + 5S = $65

5S = $15

S = $3

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Answer:

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Answer:

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Step-by-step explanation:

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Then

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