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vova2212 [387]
2 years ago
5

Determine if the given ordered triple is a solution of the system.

Mathematics
1 answer:
Orlov [11]2 years ago
8 0

Answer:

It is.

Step-by-step explanation:

(x, y, z) => (4, -5, -4)

substitute 4 in x, -5 in y & -4 in z for all the equations in the system.

4x + 2y + z = 2

4(4) + 2(-5) - 4 = 2

2 = 2

5x - 4y - z = 44

5(4) - 4(-5) - (-4) = 44

44 = 44

3x + y + 4z = -9

3(4) + (-5) + 4(-4) = -9

-9 = -9

All equations therefore agree with the ordered triple.

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3 years ago
Clare knows that Priya has a bunch of nickels and dimes in her pocket and that
enyata [817]

Answer:

a) 21 nickels and 2 dimes

b) 5x+10y=125

c) There are 13 nickels and 6 dimes

d) The point (13,6) a solution to the equation you wrote

Step-by-step explanation:

Let x be the number of nickels and y be the number of dimes in Priya's pocket.

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x nickels = 5x cents

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y dimes = 10y cents

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\$1.25=125\ cents,

so the equation that describes the relationship between the number of dimes and number of nickels is

5x+10y=125

a. To find one possible solution, substitute an arbitrary value of y and find x. Let y = 2, then

5x+10\cdot 2=125\\ \\5x+20=125\\ \\5x=125-20\\ \\5x=105\\ \\x=21

21 nickels and 2 dimes

c. The point (13,6) means that there are 13 nickels and 6 dimes.

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5 0
3 years ago
Please help!
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Answer:

14 minutes

Step-by-step explanation:

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