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dmitriy555 [2]
4 years ago
7

What is the solution to this system of linear equations? 2x + y = 1 3x – y = –6 (–1, 3) (1, –1) (2, 3) (5, 0)

Mathematics
2 answers:
Mandarinka [93]4 years ago
4 0
The answer is (-1,3).
Pavlova-9 [17]4 years ago
3 0

Answer:

(-1, 3)

Step-by-step explanation:

We have two equations:

2x+y=1\\3x-y=-6

Adding the two linear equations:

(2x+3x)+(y-y)=1+(-6)

Simplifying

5x+0y=1-6

5x=-5\\

Clearing for x:

x=\frac{-5}{5} \\x=-1

Now we substitute this value of x in either of the two initial equations to find the value of y, Substituting in the first one:

2x+y=1\\2(-1)+y=1\\-2+y=1\\y=1+2\\y=3

the answer is (-1, 3) because x=-1 and y=3

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Sami's square yard needs to be fenced to keep her dog, Sophie, home. Her yard is 400 square feet. How much fencing does she need
Aleksandr-060686 [28]
Answer: The answer is 1,600.
Explanation: since her back yard is a square that means it has 4 sides, and her yard is 400 sq ft. So you multiply 400 by 4 which equals 1,600. I haven’t done this in a long time so I’m not positive. But that should be it.
7 0
4 years ago
What is the GCF of 44 and 32
RoseWind [281]

GCF = 4

factors of 44 are : 1, 2, 4, 11, 22, 44

factors of 32 are : 1, 2, 4, 8, 16, 32

common factors are : 1, 2, 4

GCF = 4


3 0
3 years ago
Thanks to its environmental initiatives, Lexington has cut its annual CO2 emissions by 10%. This year, the town produced 280,000
s2008m [1.1K]

Answer:

Step-by-step explanation:

Rate = 10%

Time = 2 years

Initial CO2 = 280000 metric ton

1st year

10% × 280000

= 28000 metric ton.

2nd year

10% × (280000 - 28000)

= 25200 metric ton.

Metric ton of CO2 produced at the end of the 2nd year = 252000 - 25200

= 226800 metric ton of CO2.

3 0
3 years ago
Answwer this please for 20 points and brainiest
Orlov [11]
264/2200 = 0.12

0.12*100 = 12%
6 0
2 years ago
Read 2 more answers
Find the value c that will make 9x^2 +30x+c a perfect square trinomial
anzhelika [568]

Answer:

c = 25

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u>

  • A quadratic equation is given to us.
  • The equation is 9x² + 30x + c .

And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,

<u>Identity</u><u> </u><u>:</u><u>-</u><u> </u>

\implies (a+b)^2=a^2+b^2+2ab

Let's try to set the equation on this Identity .

The firsr term is 9x² . We can write it as ,

\implies 9x^2=(3x)^2

Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .

\implies 30x = 2.3x.5

Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,

\implies 9x^2+30x + 5^2 \\\\\implies (3x)^2+2.3x.5 +5^2\\\\\implies (3x+5)^2

<u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>should</u><u> be</u><u> </u><u>2</u><u>5</u><u> </u><u>.</u>

8 0
3 years ago
Read 2 more answers
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