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mamaluj [8]
2 years ago
13

PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y).

Mathematics
2 answers:
adelina 88 [10]2 years ago
4 0

Solution:

<u>Note that:</u>

  • Given equations: -x + y = 8 and 7x + 3y = -16

<u>Solving the system of equations to find the value of x and y:</u>

  • 7(-x + y = 8)

        7x + 3y = -16

  • -7x + 7y = 56

        7x + 3y = -16

  • 10y = 40
  • => y = 40/10 = 4

<u>Substituting the value of y into any equation to find the value of x:</u>

  • 7x + 3y = -16
  • => 7x + 3(4) = -16
  • => 7x + 12 = -16
  • => 7x = -16 - 12
  • => 7x = -28
  • => x = -28/7 = -4

<u>Putting the values in the form (x,y):</u>

  • (x,y) ⇒ (x = -4,y = 4) ⇒ (-4,4)

Correct option is D.

goblinko [34]2 years ago
3 0

Answer:

  • (4, - 4)

Step-by-step explanation:

<u>Given system:</u>

  • -x + y = 8
  • 7x + 3y = - 16

<u>Multiply the first equation by 7 and add up the equations:</u>

  • -7x + 7y + 7x + 3y = 7*8 - 16
  • 10y = 40
  • y = 4

<u>Find y:</u>

  • -x + 4 = 8
  • -x = 4
  • x = - 4
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Marta_Voda [28]

Answer:

-2.453

Step-by-step explanation:

sqrt(6) * sqrt(2) = 3.461

sqrt(6) * -2 = -4.899

sqrt(3) * sqrt(2) = 2.449

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sum of numbers equals

-2.453

7 0
3 years ago
Find the value of 13 + (-7)
Vikki [24]

Answer:

6

Step-by-step explanation:

Before solve this you've to know that,

( + ) × ( - ) = ( - )

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( + )

Let us solve now.

13 + (-7)

13 - 7

= 6

Hope this helps you :-)

Let me know if you have any other questions  :-)

7 0
2 years ago
Read 2 more answers
This hanger is in balance. There are two labeled weights of 5 grams and one of 33 grams. The four circles each have the same wei
kvv77 [185]

Answer:

33

Step-by-step explanation:

3 0
3 years ago
Find the area of the region enclosed by the graph of $x^2 + y^2 = 2x - 6y + 6$
Luda [366]

Answer:

  16π ≈ 50.27 square units

Step-by-step explanation:

The equation is that of a circle of radius 4. The area of a circle is given by ...

  A = πr²

  A = π(4²) = 16π ≈ 50.27 . . . . square units

_____

The equation can be put into the standard form for a circle to find its radius.

  (x^2 -2x) +(y^2 +6y) = 6 . . . . collect variable terms on the left

  (x^2 -2x +1) +(y^2 +6y +9) = 6 + 1 + 9 = 16 . . . . . complete the squares

  (x -1)^2 +(y +3)^2 = 4^2 . . . . . the radius is 4

Compare to the form ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . circle of radius r centered at (h, k)

7 0
4 years ago
3.274 x 10^3 as an ordinary number
Alborosie

Answer:

327.4

Step-by-step explanation:

All you have to do to simplify a number written in scientific notation is to move the decimal place to the left (if the number is negative) and to the right (if the number is positive).

4 0
4 years ago
Read 2 more answers
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