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Mekhanik [1.2K]
2 years ago
9

Solve the system by substitution. 2x=y-10 2x+7=2y The solution is ( , ).

Mathematics
1 answer:
Ugo [173]2 years ago
7 0

Answer:

Step-by-step explanation:

2x=y-10

2x+7=2y

====

2x=y-10

x = (y-10)/2

Use this in the 2nd equation:

2x+7=2y

2((y-10)/2)+7=2y

y - 10 + 7 = 2y

-y -3 = 0

-y = 3

y = -3

Use this in either equation:

2x=y-10

2x=(-3)-10

x = -(13/2) or - 6.5

(-6.5, -3)

See attached graph.

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Kisachek [45]
Vertical asymptotes occur when the denominator of a rational is 0, whilst not zeroing out the numerator, making the rational, undefined, in this case

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6 0
3 years ago
Read 2 more answers
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What
Kitty [74]

We are given : Cost of a gallon of milk = $2.50.

Cost of a cup of yogurt = $1.20.

Total money Monica has = $20.

Number of cups of yogurt Monica can buy = x.

And inequality made is also correct

1.20x + 2.5 ≤ 20.

Now, we need to solve it for x.

Subtracting 2.5 from both sides, we get

1.20x + 2.5 -2.5 ≤ 20 - 2.5.

1.20x ≤ 17.5

Dividing both sides by 1.20, we get

1.20x/1.20 ≤ 17.5/1.20.

x ≤ 14.5833...

Because it's less than 15, so final answer is : 14 is  greatest number of cups of yogurt Monica can buy.



3 0
3 years ago
Read 2 more answers
Hannah is flying a kite with a trying that is 60 feet long. If Patricia is standing directly below the kite and 16 feet away fro
Nataly_w [17]

Answer:

74.5°

Step-by-step explanation:

Hannah, the kite and Patricia form the vertices of a right-angled triangle with the hypotenuse side the length of the string L = 60 feet and adjacent side the distance between Hannah and Patricia = d = 16 feet.

Let the angle between the string and the sand be Ф.

By trigonometric ratios,

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Ф = cos⁻¹(0.2667)

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7 0
3 years ago
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zvonat [6]
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2 years ago
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ASHA 777 [7]

Answer:

3003

Step-by-step explanation:

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There are 3003 different lineups that can be chosen.

6 0
3 years ago
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