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kirza4 [7]
3 years ago
10

Solve each system. Show your elimination work. -3y + 10x = -5 3y - 6x=9

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:x=-1 y=1

Step-by-step explanation:

-3y+10x=-5

3y-6x=9

Add both equations together

-3y+3y+10x-6x=-5+9

0+4x=-4

4x=-4

Divide both sides by 4

4x/4=-4/4

x=-1

Substitute x=-1 in 3y-6x=9

3y-6(-1)=9

3y+6=9

3y=9-6

3y=3

Divide both sides by 3

3y/3=3/3

y=1

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Fruit Company A recently released a new applesauce. By the end of its first year, profits on this product amounted to $37,100. T
Anastasy [175]

Answer: 11 year

P(1) = 37,100

P(4) = 58,400

The linear equation (for x ≥ 1)

P(x) = 37,100 + a(x-1)

For x = 4

58,400 = 37,100 + a(4-1)

58,400 - 37,100 = 3a

21300 = 3a

a = 7100

So, the linear equation:

P(x) = 37100 + 7100*(x-1)

P(x) = 37100 + 7100x - 7,100

P(x) = 7100x + 30000

To find when the profit should reach 108100, we can substitute P(x) by 108100.

108100 = 7100x + 30000

108100 - 30000 = 7100x

78100 = 7100x

x = 78100/7100

x = 11

Answer: 11 year

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1 year ago
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nadezda [96]

Answer:

250 + 200h = 300 + 180h

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8 0
2 years ago
×WILL MARK AS BRAINLIEST×<br>Solve the equation for b, d and x
Lera25 [3.4K]
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)


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

Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer:  x = (2 b d)/3 + (-a - b c)

____________________________


Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
5 0
3 years ago
Which ratio is equal to 78?
lyudmila [28]

Answer:

78 : 162 = 13 : 27. These two equalities are examples of proportions (equal ratios); it is as simple as that.

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3 years ago
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