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Tatiana [17]
3 years ago
6

Solve the system of Linear equations by elimination

Mathematics
1 answer:
Delvig [45]3 years ago
3 0
With these, you pick either equation and a variable to solve for; let's solve for x using the 2nd eq: 3x - 4y = 11; 3x = 4y - 11; x = (4/3)y - (11/3).

Now, plug x into the first eq: 3( (4/3)y - (11/3) ) + 4y = 5; 4y -11 +4y = 5; 8y = 16; y = 2.

To get an actual number for x, plug in y into either equation and you should get x = -1.
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Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is
andrew11 [14]

The correct answer is:

(x + 3)^2 + (y + 2)^2 = 4^2, so the center is (–3, –2)

Further explanation:

The given equation of circle is:

x^2+y^2+6x+4y-3 = 0

In order to complete the square the terms have to be combined first

x^2+y^2+6x+4y = 3\\x^2+6x+y^2+4y=3\\(x^2+6x)+(y^2+4y) = 3

9 and 4 will be added to both sides of the equation to complete the square

(x^2+6x+9)+(y^2+4y+4) = 3+9+4\\(x^2+6x+9)+(y^2+4y+4) = 16

The next step completes the work

(x+3)^2+(y+2)^2 = (4)^2\\

Comparing with the standard form of circle

(x-h)^2 + (y-k)^2 = r^2\\x - h = x+3\\h=-3\\y-k = y+2\\k = -2

As the centre is (h,k), the centre of given circle will be:

(-3,-2)

Hence the correct answer is:

(x + 3)^2 + (y + 2)^2 = 4^2, so the center is (–3, –2)

Keywords: Circle, Equation of Circle

Learn more about equations of circles at:

  • brainly.com/question/3055705
  • brainly.com/question/3333996
  • brainly.com/question/3456442

#LearnwithBrainly

4 0
3 years ago
Ima houseseller earns a 3% commision for selling a house. if he sells a house for $120000, what is his commision
Masja [62]

Commission is earning a certain percentage of the total sold price.

To figure this out we need to find what is 3% of $120,000

We can do this by multiplying 3% and $120,000

First let's change 3% into a decimal.

3% = 0.03

Now lets multiply.

0.03 x $120,000 = $3,600

So this person earned $3,600 in commission.

Good Luck! :)

❤️ ❤️ ❤️

7 0
3 years ago
Write 7.62 x 10^3 in standard notation
Reil [10]

Answer:

7,620

Step-by-step explanation:

When you move the decimal place 3 place to the right you get 7,620

I hope this helps!

6 0
3 years ago
I need help with this thanks
Elina [12.6K]

Answer:

n ÷ 2

Step-by-step explanation:

if you insert a 12 for 'n', the corresponding value below would be 12÷2, or 6

this follows the pattern in the table

7 0
3 years ago
7 units up equation for each translation of y=|x|
ANTONII [103]

Answer:

y=IxI+7 is the answer.

Step-by-step explanation:

hope this helps

7 0
3 years ago
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