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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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Evaluate 9+ w/5 + 5h when h= -8 and w= 20
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Answer:

<u><em>Answer is below</em></u>

Step-by-step explanation:

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Question 30 The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type
Flura [38]

Answer:

The answer is below

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?

Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).

Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:

x + y = 80                              .                  .                 .    1)

Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:

0.65x + 0.9y = 68               .                 .                  .        2)

We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:

0.65x + 0.65y = 52            .                  .               .        3)

Subtract equation 3 from 2 and solve for y:

0.25y = 16

y = 16/0.25 = 64

y = 64 pints

Put y = 64 in equation 1:

x + 64 = 80

x = 80 - 64 = 16

x = 16 pints

Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.

4 0
3 years ago
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