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anzhelika [568]
3 years ago
11

Solving the following system using the elimination of substitution method. 5a+3b=11 -2a+3=b

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

a = -2

b = 7

Step-by-step explanation:

5a+3b=11

-2a+3=b

substitute for b:

5a + 3(-2a + 3) = 11

5a -6a + 9 = 11

-a = 2

a = -2

b = 7

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What is the length of AC¯¯¯¯¯
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Answer: AC=12 cm

Step-by-step explanation:

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5 0
3 years ago
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a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in
raketka [301]
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For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour. 

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6 0
3 years ago
Marla bought 12 books at a garage sale. Some of them were hardback and the rest were paperback. She paid $0.50 for each paperbac
olga nikolaevna [1]

Answer: The number of books bought were 9 paperbacks and 3 hardbacks

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence let the hardback be called h, while the paperback shall be called p.

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h + p  = 12 ------(1)

Then she paid 0.5 dollars for paperback and 0.75 dollars for hardback and the total spent was 6.75 dollars for all of them, then we can express these as follows;

0.5p + 0.75h = 6.75 ------(2)

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From equation (1), make h the subject of the equation,

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Substitute for h into equation (2)

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Divide both sides of the equation by -0.25

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Now, substitute for p into equation (1)

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Subtract 9 from both sides of the equation

h = 3

Therefore Marla bought 9 paperbacks and 3 hardbacks

6 0
3 years ago
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