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FinnZ [79.3K]
2 years ago
11

Which of these correctly explains the solution of the system of equations shown below?

Mathematics
1 answer:
Daniel [21]2 years ago
4 0

The values of x = -6 and y = 6 satisfy both the equations; therefore, (-6, 6) is the solution. The correct option is a)

<h3>Simultaneous linear equation</h3>

From the question, we are to determine the solution of the given system of equations

The given system of equations are

2 x + 3 y = 6 -------  (1)

x + 3 y = 12   ------- (2)

From equation (2)

x + 3y = 12

Then, we can write that

x = 12 - 3y ---------   (3)

Substitute this into equation (1)

2x + 3y = 6

2(12 -3y) + 3y = 6

24 - 6y + 3y = 6

24 -3y = 6

24 - 6 = 3y

18 = 3y

∴ y = 18/3

y = 6

Substitute the value of y into equation (3) to get the value of x

x = 12 - 3y

x = 12 -3(6)

x = 12 - 18

x = -6

∴ x= -6 and y = 6 ; Thus, (-6, 6) is a solution

Hence, the values of x = -6 and y = 6 satisfy both the equations; therefore, (-6, 6) is the solution. The correct option is a)

Learn more on Simultaneous linear equations here: brainly.com/question/16863577

#SPJ1

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olya-2409 [2.1K]

Answer: Production in 2007 reached more than. 91.5 billion pounds. ... billion pounds, with chicken production totaling 36.6 ... Average Annual Per Capita Consumption (in pounds). 0.0. 10.0 ... 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006. Year ... half (55 percent) of all meat consumed are red meat.

simplfying to get 19.8928571429

then you mul·ti·ple equals 155.96

then you subtract and it gets you 52.9

then you add gets you 58.5.

This question is quite simple as long as you know how to do math you should ace all of your math classes..

Mathematics can get pretty complicated. Fortunately, not all math problems need to be inscrutable. Here are five current problems in the field of mathematics that anyone can understand, but nobody has been able to solve.

like...Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time.

Mathematicians have tried millions of numbers and they've never found a single one that didn't end up at 1 eventually. The thing is, they've never been able to prove that there isn't a special number out there that never leads to 1. It's possible that there's some really big number that goes to infinity instead, or maybe a number that gets stuck in a loop and never reaches 1. But no one has ever been able to prove that for certain.

So you're moving into your new apartment, and you're trying to bring your sofa. The problem is, the hallway turns and you have to fit your sofa around a corner. If it's a small sofa, that might not be a problem, but a really big sofa is sure to get stuck. If you're a mathematician, you ask yourself: What's the largest sofa you could possibly fit around the corner? It doesn't have to be a rectangular sofa either, it can be any shape.

This is the essence of the moving sofa problem. Here are the specifics: the whole problem is in two dimensions, the corner is a 90-degree angle, and the width of the corridor is 1. What is the largest two-dimensional area that can fit around the corner?

The largest area that can fit around a corner is called—I kid you not—the sofa constant. Nobody knows for sure how big it is, but we have some pretty big sofas that do work, so we know it has to be at least as big as them. We also have some sofas that don't work, so it has to be smaller than those. All together, we know the sofa constant has to be between 2.2195 and 2.8284.

AM I BEING TO MUCH OF A SMART ALECK, I'm sorry if i am LOL.

but if you need help with another question, you can ask me :)

4 0
3 years ago
Please help with this
Maksim231197 [3]

Answer:

Choice A

Step-by-step explanation:

  • SSS is not applicable as only 2 sides are congruent
  • HL is lot applicable as triangles are not right angled (∠A and ∠E >90)
  • ASA also not applicable as the angle should be included but is not
5 0
3 years ago
How to find the surface area of a triangular prism ? Grade 6 style and easiest way possible
matrenka [14]
Alright so
Surface area = (width x height) + (length x width) + (length x height) + (length x side)

3 0
4 years ago
I need help attachment below will give brainliest
Veronika [31]

Answer:

see explanation

Step-by-step explanation:

(1)

Calculate the circumference (C) of the wheel

C = πd (d is the diameter )

   = 3.14 × 8 = 25.12 cm

Now divide the distance travelled by the circumference.

times rotated = 12560 ÷ 25.12 ≈ 500

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

(2)

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Find r by using the circumference (C)

2πr = 50.24 ( divide both sides by 2π )

r = 50.24 ÷ 6.28 = 8 , then

A = 3.14 × 8² = 3.14 × 64 ≈ 200.96 ft² ( student 3 )

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

(3)

C = πd = 3.14 × 30 = 94.2 ≈ 94 m

7 0
3 years ago
Which of these functions had a greater rate of change than the function graphed below, and why?
Mrac [35]

Answer:

C

Step-by-step explanation:

When we talk of rate of change, we talk of the slope of the line

If we had a line;

y = mx + b

m is the slope ( which is the rate of change)

To get the slope of the line, we select any two points on the line and apply the slope formula

m = y2-y1/x2-x1

let us take points (0,0) and (3,9)

m = 9-0/3-0 = 9/3 = 3

The slope here is 3

so from the option, we can see that the third option is the correct answer

7 0
3 years ago
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