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lina2011 [118]
3 years ago
14

Solve the following system of equations. 3x+4y=12

Mathematics
1 answer:
Lesechka [4]3 years ago
6 0

Answer:

(0,3) is the solution set for given system.

Step-by-step explanation:

Given that:

3x+4y=12  ------- eq1

2x-3y= -9 ------- eq2

Multiplying eq1 with 2 and eq2 with 3 we get:

6x + 8y = 24 --------- eq1

6x - 9y = -27 -------- eq2

Subtracting eq2 from 1 we get:

17y = 51

Dividing both sides by 17 we get:

y = 3

Putting value of 3 in eq1 we get:

3x + 4(3) = 12

3x + 12 = 12

3x = 0

Dividing both sides by 3

x = 0

So the solution set will be: (0,3)

i hope it will help you.

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Write a real world situation that could be represented by the system of equations shown below.
natali 33 [55]
You could say:

y = 4x + 10

John runs 10 miles a week, after every month he adds 4 miles.

y = 3x + 15

Mary runs 15 miles a week, after every month she adds 3 miles.

'y' would represent the total miles and 'x' would represent the number of months.
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3 years ago
Mrs. Rifkin had 84 oranges. 24 of her oranges were rotten. The rest were either ripe or unripe. There were 18 more ripe oranges
Natalka [10]

Answer:

13:8:7

Step-by-step explanation:

84 - 24 = 60

60 oranges were either ripe or unripe.

18 more ripe oranges than unripe oranges.

x + 18 = ripe oranges

x = unripe oranges

x + 18 + x = 60

2x + 18 = 60

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x = 21

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21 + 18 = 39

39 oranges are ripe.

Ratio of the number of ripe oranges to the number of rotten oranges to the number of unripe oranges.

39:24:21

13:8:7

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3 years ago
Finley's pumpkin had a mass of 6.5 kilograms before he carved it. After carving it, the pumpkin had a mass of 3.9 k.g.
Zarrin [17]
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3 years ago
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The length of two sides of triangle are 4cm and 5cm. Between what two
Elanso [62]

Answer:

1 and 9

Step-by-step explanation:

By the Triangle Inequality Theorem, the sum of two side lengths of a triangle is always greater than the length of the third side.

In other words, in a triangle with side lengths a, b, and c, we always have a+b > c.

Applying this to this question, the other side length, x, must satisfy the following inequalities:

4+5 > x,\\x+5 > 4,\\x+4 > 5.

Solving these inequalities gives

x < 9,\\x > -1,\\x > 1.

Combining these solutions, we have 1 < x < 9. Therefore, the length of the third side falls between 1 and 9.

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Setler79 [48]

Answer:

-443 is the 90th term

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n=90th

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> 7-5(90)

> 7-450

> -443

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