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aleksley [76]
3 years ago
12

1.) What is the solution to the system of equations below? y = 2x + 8 3(-2x + y) = 19

Mathematics
1 answer:
-BARSIC- [3]3 years ago
3 0

Answer:

y = 2x + 8

6x + 3y = 19

6x + 3(2x + 8) = 19

6x + 6x + 24 = 19

12x = -5

x = -5/12

y = 2(-5/12) + 8

y = -5/6 + 48/6

y = 43/6

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Answer:

(5,3)

Step-by-step explanation:

Look for the coordinates of the point of intersection where the 2 graphs cross. This gives the solution.

In this case, they cross at (5,3) and they intersect at only one location (i.e there is only 1 solution)

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Add 0.5 kg, 50 mg, and 2.5 dg. Reduce the result to grams.
vredina [299]

Answer:

0.25g + 0.05g + 500g = 500.30g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.5kg to g

Each kg has 1000g. So

1kg - 1000g

0.5kg - xg

x = 1000*0.5

x = 500g

0.5kg = 500g

Second step: 50mg to g

Each g has 1000mg. So:

1g - 1000mg

xg - 50mg

1000x = 50

x = \frac{50}{1000}

x = 0.05g

50mg = 0.05g

Third step: 2.5dg to g

Each g has 10dg. So:

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Final step: Add

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8 0
3 years ago
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