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mina [271]
2 years ago
13

How to solve 6x + y= -5, -6x + 12y=96 using elimination and does it have no solution or many solutions?

Mathematics
1 answer:
Alika [10]2 years ago
8 0

Answer:

x = -2

Step-by-step explanation:

Arrange 6x + y= -5, -6x + 12y=96 vertically:

6x + y= -5

-6x + 12y=96       Now combine like terms:

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

       13y = 91

Solving for y by dividing both sides by 13:  y = 7

Find x by substituting 7 for y in the second equation:  -6x + 12(7) = 96

Then -6x = -84 + 96, or:

-6x = 12, and so x = -2

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PLEASE HELP me with the magic square
defon

Fill in each slot in the square with variables <em>a</em>, <em>b</em>, <em>c</em>, <em>d</em>, and <em>e</em>, in order from left-to-right, top-to-bottom. In a magic square, the sums across rows, columns, and diagonals all add up to the same number called the <em>magic sum</em>.

The magic sum is -3.9, since "diagonal 2" (bottom left to top right) has all the information we need:

3 + (-1.3) + (-5.6) = -3.9

Use this to find the remaining elements

  • row 1:

<em>a</em> + <em>b</em> + (-5.6) = -3.9

  • row 2:

<em>c</em> + (-1.3) + <em>d</em> = -3.9

  • row 3:

3 + <em>e</em> + 0.02 = -3.9

  • column 1:

<em>a</em> + <em>c</em> + 3 = -3.9

  • column 2:

<em>b</em> + (-1.3) + <em>e</em> = -3.9

  • column 3:

(-5.6) + <em>d</em> + 0.02 = -3.9

  • diagonal 1 (top left to bottom right):

<em>a</em> + (-1.3) + 0.02 = -3.9

You will find

<em>a</em> = -2.62

<em>b</em> = 4.32

<em>c</em> = -4.28

<em>d</em> = 1.68

<em>e</em> = -6.92

5 0
3 years ago
Point m is the midpoint of kL. M(1,-1) and L(8,-7. What are the coordinates of point k?
Phoenix [80]

Answer: (-6, 5)

<u>Step-by-step explanation:</u>

Use the Midpoint Formula: \dfrac{(x_k, y_k)+(x_L,y_L)}{2}=(x_m, y_m)

Separate the x's and y's and solve them individually:

\dfrac{x_k+x_L}{2}=x_m\qquad \qquad \qquad \qquad\dfrac{y_k+y_L}{2}=y_m\\\\\\\dfrac{x_k+8}{2}=1\qquad \qquad \qquad \qquad \qquad \dfrac{y_k-7}{2}=-1\\\\\\x_k+8=2\qquad \qquad \qquad \qquad \qquad y_k-7=-2\\\\\\x_k\quad =-6 \qquad \qquad \qquad \qquad \qquad y_k\qquad =5

            So, the k-coordinate is (-6, 5)

3 0
3 years ago
9e - 7 = 7e - 11<br> solve for e
prisoha [69]

Answer:

e = -2

Step-by-step explanation:

9e - 7 = 7e - 11

Subtract 7e from both side

2e - 7 = -11

Add 7 to both sides

2e = -4

Divide by 2 to isolate e

e = - 2

4 0
2 years ago
Read 2 more answers
Consider the cylinder with a volume of 132π cm3. A cylinder with volume of 132 pi centimeters cubed. What is the volume of a con
vagabundo [1.1K]

Answer:

44 pi centimeters cubed

Step-by-step explanation:

Since, base radius and height of cone are equal to to that of cylinder. Hence,

Volume \:  of  \: cone   \\ =  \frac{1}{3}  \times Volume \: of \: cylinder \\ =  \frac{1}{3}  \times132\pi  \\ = 44\pi \:  {cm}^{3}

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jok3333 [9.3K]

Answer:

the Answer will be letter B

6 0
3 years ago
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