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NeX [460]
3 years ago
5

Solve this system of linear equations. Separate the x- and y- values with a coma. 3x=36-15y. 11x =-78+15y

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

Answer:

(-3,3)

Step-by-step explanation:

3x=36-15y and 11x =-78+15y

We move all x  and y terms to the left hand side of the equation , so that we can apply elimination method

3x=36-15y , Add 15 y on both sides , 3x + 15y = 36

11x =-78+15y, subtract 15y on both sides, 11x -15y = -78

Now we add both equations

3x  + 15y = 36

11x -15y = -78

------------------------

14x  = -42

divide both sides by 14

x= -3

Now Plug in -3 for x in any one of the given equation

3x=36-15y

3(-3) = 36 - 15y

-9 = 36 - 15y

Subtract 36 on both sides

-45 = -15y

Divide both sides by -15

So y= 3

Answer is (-3,3)

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Step-by-step explanation:

So if you are 7 and a half miles away, and you drive 30 miles per hour, you need to take 7.5 and divide it by it by 30 and you get 0.25, you then need to find what is a quarter (0.25) of 60 minutes, and you will find that it is 15 minutes.

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The route will take 15 minutes to get to work taking the back roads.

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5 0
3 years ago
Can someone help me with this ????
fenix001 [56]

Answer:

A.

(\frac{3}{3+5})(2 - (-14))+ (-14)

Step-by-step explanation:

Given

Ratio = 3:5

Q = -14

S = 2

Required

Which solution uses (\frac{m}{m+n})(x_2 - x_1)+ x_1

From the given parameters;

m:n = 2:5

m = 2\ and\ n = 5

x_1 = -14\ and\ x_2 = 2

Substitute the above values in (\frac{m}{m+n})(x_2 - x_1)+ x_1

This gives:

(\frac{m}{m+n})(x_2 - x_1)+ x_1

(\frac{3}{3+5})(2 - (-14))+ (-14)

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6 0
3 years ago
The bird population on an island is declining at a rate of 2.2% per year. The population was 3,500 in the year 2009. Which answe
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Given:2009 : 3,500 populationdecrease of 2.2% per year. 100% - 2.2% = 97.8%
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6 0
3 years ago
Ed buys a box of eggs costing £2.80, two packs of bacon for £2.40 each and two tins of baked beans. He pays with a £10 note and
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Answer:

£0.8

Step-by-step explanation:

egg = 2.80

Bacon = 2 * 2.40 = 4.80

Baked beans = 2 tins

Amount issued = 10

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Let cost per baked beans = x

Hence,

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7.60 + 2x = 9.20

2x = 9.20 - 7.60

2x = 1.6

x = 1.6 / 2

x = 0.8

Hence, a tin of baked beans cost £0.8

6 0
3 years ago
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