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andriy [413]
3 years ago
10

What is the solution to the system of equations?

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0

Answer:

(x, y) = (-3, -6)

Step-by-step explanation:

The second equation can be used to write an expression for y:

... -5x -21 = y . . . . . . . add y-21 to both sides

This expression can be substituted for y in the first equation:

... 6 = -4x +(-5x -21)

... 27 = -9x . . . . . add 21, collect terms

... -3 = x . . . . . . . divide by -9

Using this value of x in the expression for y, we find ...

... -5(-3) -21 = y = -6

The solution is x = -3, y = -6.

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The width of a rectangle is 1 3/4 feet. The rectangle is 2 1/2 feet longer than it is wide. What is the length of the rectangle?
sp2606 [1]

Answer:

length=4 1/4

Step-by-step explanation:

  1. 1 3/4 + 2 1/2
  2. convert 2 1/2 into 2/4 since 2 is half of 4
  3. add the converted number and 1 3/4 fractions
  4. 2/4 and 3/4 added will make 1 1/4
  5. add 1 1/4, 2 and 1 and it will equal 4 1/4
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2 years ago
A construction company wants to hire x carpenters for $220 a day and y plumbers for $260 a day. the company wants to hire at lea
Ksju [112]

Answer:6

Step-by-step explanation:

$220 × 6 = $1320 this is how much it cost to pay 6 carpenters for one day. Now lets find how much it cost to 12 plumbers at $260 a day. $260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.

7 0
3 years ago
What is the difrence between domain and range
Georgia [21]

Answer:

Domain is the set of all possible input values is any relation. It means the output value in a function depends upon each member of domain. Domain value vary in different mathematical problems and depends upon the function for which is it solved. If we talk about cosine, then domain is the set of all possible real numbers either above the 0 value or below the 0 value, it could also be 0. While for square root, the domain value could not be less than 0, it should be minimum 0 or above 0. In other words, you can say that domain of square root is always 0 or positive value. For complex and real equations, the domain value is a subset of complex or real vector space. If we want to solve a partially differential equation for finding the value of domain, then your answer should lie within three dimensional space of Euclidean geometry.

Step-by-step explanation:

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2 years ago
What is the surface area of the square pyramid shown, if the base has a side length of 8 inches and l = 15 inches?
givi [52]
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3 years ago
Which phrase best describes mortgage collateral?
Anika [276]

Answer:

C. the purchased property that secures the loan

Step-by-step explanation:

Mortgage collateral describe the use of a property e.g house to secure a loan. This collateral is always requested when a large amount of money is involved. The house could be sold if the borrower renege (fail to meet up with) on the due date as regards the agreement after collecting the loan.

Therefore, a mortgage collateral could be referred to as the purchased property that has been used to secure a loan by a borrower.

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3 years ago
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