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Llana [10]
3 years ago
15

Y varies inversely to x. If y = 7 when x = -4, what is y when x =5 ?

Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer:

Step-by-step explanation:

y*1/x

y=k/x where k is the constant of variation

when y=7, x=-4

7=k/-4

k=-28

when x=5

y=-28/5

note: * is used as symbol of variation

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2x+5y=12
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Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation

2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13

so the solution is (-17/13, 38/13)

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Answer:

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