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Tema [17]
3 years ago
11

The solution to the given system of linear equations lies in which quadrant? 1, 2, 3, or 4

Mathematics
2 answers:
Alchen [17]3 years ago
8 0
Lies on the 4th quadrant

Aneli [31]3 years ago
8 0

Answer:

The correct option is 4. The solution of given system of equation is (3,-1), which lies in 4th quadrant.

Step-by-step explanation:

The given equations are

x-3y=6                  .... (1)

x+y=2                   .... (2)

Subtract equation (2) from equation (1).

x-3y-(x+y)=6-2

x-3y-x-y=4

-4y=4

Divide both sides by -4.

y=-1

The value of y is -1.

Substitute y=-1 in equation (1).

x-3(-1)=6

x+3=6

Subtract 3 from both sides.

x=6-3

x=3

The solution of given system of equation is (3,-1).

Since the x coordinate is positive and y coordinate is negative, therefore the solution of given system of equation lies in 4th quadrant.

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I would write a proportion, I can't use a fraction bar so they will just be on top of each other:
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3 years ago
What is the greatest common factor of 48, 112, and 80
pickupchik [31]

9514 1404 393

Answer:

  16

Step-by-step explanation:

48 = 16·3

112 = 16·7

80 = 16·5

3, 5, 7 have no common factors. The GCF of {48, 112, 80} is 16.

_____

It can be helpful to recognize 48 = 16·3 and 80 = 16·5. A simple check shows 112 = 16·7, so 16 is the GCF.

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You can find GCF(48,112) using Euclid's algorithm:

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and the GCF(16, 80) is ...

  80 mod 16 = 0   ⇒   GCF(16, 80) = 16

So, GCF(48, 80, 112) is 16.

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Step-by-step explanation:

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