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LUCKY_DIMON [66]
3 years ago
7

What is the y-coordinate of the solution of the system? {3x+10y=7, x-10y=29}

Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0
We know that:

3x + 10y = 7

We also know that:

x - 10y = 29

Which means that:

x = 29 + 10y

If, x = 29 + 10y,

3(29 + 10y) + 10y = 7

3*29 + 30y + 10y = 7

3(20+9) + 40y = 7

60 + 27 + 40y = 7

87 + 40y = 7

40y = 7 - 87

40y= -80

y=(-80)/40

y=-2

Answer y=-2.

If y=-2,

x-10(-2)=29

x+20=29

x=29-20

x=9

Let's see if these results are true:

3(9)+10(-2)=7

27-20=7 (Correct)

-----------

9-10(-2)=29

9+20=29 (Correct)

Answer once again:

y=-2
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Angelo is making a rectangular floor for a clubhouse with an area of 84 square feet. The length if each side of the floor is a w
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Answer:

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

Step-by-step explanation:

We are given that

Area of rectangular floor=84 square feet

We have to find the possible length and width of for Angelo's clubhouse.

Area of rectangle=length\times breadth

Using the formula

Area of rectangular floor for clubhouse=84 square feet

Length(L)\times breadth(B)=84

Factor of 84 are

1,2,4,6,7,12,14,21,42,84

Therefore,  possible dimension of rectangular floor

1ft\times 84ft,2ft\times 42ft,4ft\times 21ft,6ft\times 14ft,7ft\times 12ft,12ft\times 7ft,14ft\times 6ft,21ft\times 4ft,42ft\times 2ft,84ft\times 1ft

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

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Four times the sum of a number and ter is the same as one-hundred added to eight
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Answer:

GIVE BRAINLIEST PLZ

I DONT NEED THNX

x = -15

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1) Four times sum of a number and 10

4(x + 10)

2) is equal to 100 added to 8 times the number

4(x+10) = 8x + 100

x + 10 = 2x + 25

-15 = x

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What is the value of 4(-1+2-3+4-5+6-7+......+1000)???
ANTONII [103]

Answer:

<h2>            4(-1+2-3+4-5+6-7+......+1000) = 2000</h2>

Step-by-step explanation:

-1+2 = 1

-3+4 = 1

-5+6 = 1

and so on till -999+1000 = 1

1 ....  1000    - these are 1000 numbers, so

1000:2 = 500   pairs with sum equal 1

4(500•1) = 4•500 = 2000

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