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Ierofanga [76]
4 years ago
8

Solve the system of linear equations by elimination 2x+7y=1 2x-4y=12

Mathematics
1 answer:
pishuonlain [190]4 years ago
3 0

\left\{\begin{array}{ccc}2x+7y=1\\2x-4y=12&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+7y=1\\-2x+4y=-12\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad11y=-11\qquad\text{divide both sides by 11}\\.\qquad\qquad \boxed{y=-1}\\\\\text{Put the value of y to the first equation:}\\\\2x+7(-1)=1\\2x-7=1\qquad\text{add 7 to both sides}\\2x=8\qquad\text{divide both sides by 2}\\\boxed{x=4}\\\\Answer:\ \boxed{x=4\ and\ y=-1\to(4,\ -1)}

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The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal. At variou
Butoxors [25]

Answer:

1. A is the null hypothesis. The null hypothesis is the statement in which everything is operating as expected; nothing unusual is going on.

2. C is the alternative hypothesis. The problem says that you are looking to see whether or not the machine is filling with an average of 24 ounces, so it could be over or under filling. B only accounts for under filling.

Step-by-step explanation:

3 0
4 years ago
The fuse are building a new home one of the bedroom closet has an area of 48 square feet and a perimeter of 32 ft what are the l
olya-2409 [2.1K]

Answer: The length is 12 feet and the width is 4 feet.

Step-by-step explanation:

Let L represent the length of the bedroom closet.

Let W represent the width of the bedroom closet..

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of the bedroom closet is 32 ft. This means that

2(L + W) = 32

Dividing through by 2, it becomes

L + W = 32/2

L + W = 16

The area of the bedroom closet is 48 ft². This means that

LW = 48 - - - - - - - -- - - - - - 1

Substituting L = 16 - W into equation 1, it becomes

W(16 - W) = 48

16W - W² = 48

W² - 16W + 48 = 0

W² - 12W - 4W + 48 = 0

W(W - 12) - 4(W - 12) = 0

W - 12 = 0 or W - 4 = 0

W = 12 or W = 4

L = 16 - 4 = 12

3 0
4 years ago
Does anyone know this?
dlinn [17]

Answer:


I think that B is the correct answer


7 0
4 years ago
32 of 96 parents in the pta wanted a bake sale instead of a car wash. what is the greatest common factor you can use to simplify
Westkost [7]

32 = 4×8

96= 12×8

96= 3x4x8


therefore 4x8=32 is the common factor


32/96 = 1/3

:)

7 0
3 years ago
Lupe has 5 dimes and some quarters. If she has a total of $2.25, how many quarters does she have ?
katen-ka-za [31]

Answer:

she has 7 quarters

Step-by-step explanation:

well 5 dimes is 50 cents

so 2.25-50=1.75

and 1.75 divided by .25 = 7

3 0
4 years ago
Read 2 more answers
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