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Rasek [7]
3 years ago
13

solve this system of linear equations. separate the x- and y-values with a comma. -12x = -75 - 11y -5x = -89 - 11y

Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer:

x = -2 , y= -9

Step-by-step explanation:

Solve the following system:

{-12 x = -11 y - 75 | (equation 1)

{-5 x = -11 y - 89 | (equation 2)

Express the system in standard form:

{-(12 x) + 11 y = -75 | (equation 1)

{-(5 x) + 11 y = -89 | (equation 2)

Subtract 5/12 × (equation 1) from equation 2:

{-(12 x) + 11 y = -75 | (equation 1)

{0 x+(77 y)/12 = (-231)/4 | (equation 2)

Multiply equation 2 by 12/77:

{-(12 x) + 11 y = -75 | (equation 1)

{0 x+y = -9 | (equation 2)

Subtract 11 × (equation 2) from equation 1:

{-(12 x)+0 y = 24 | (equation 1)

{0 x+y = -9 | (equation 2)

Divide equation 1 by -12:

{x+0 y = -2 | (equation 1)

{0 x+y = -9 | (equation 2)

Collect results:

Answer:  {x = -2 , y= -9


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nikdorinn [45]
<h2><u>Correct question</u> : 4x - 3 = 2x + 7 </h2>

<h2><u>Solution</u> : 4x - 3 = 2x + 7 </h2>

4x - 2x = 7 + 3 \\  \\ 2x = 10 \\  \\ x =  \frac{10}{2}  \\  \\ x = 5.

<h2>•••••••••••••••••••••••••••••••••••••••</h2>

<h2><u>Correct Question</u> : 2x + 6 = 7x - 14</h2>

<h2><u>Solution</u> : 2x + 6 = 7x - 14</h2>

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7 0
1 year ago
4. As shown in Figure 5.111 to the right if the
Juli2301 [7.4K]

Answer:

Area of the shaded part is 3.14 square unit.

Step-by-step explanation:

Area of the shaded part = Area of large semicircle - (Area of two small semi circles)

Area of large semicircle with center O = \frac{1}{2}(\pi r^2)

                                                                = \frac{1}{2}\pi (2)^{2}

                                                                = 2π

Area of semicircle with center O' = \frac{1}{2}\pi (1)^2

                                                      = \frac{\pi }{2}

Area of semicircle with center O" = \frac{\pi }{2}

Now substitute these values in the formula,

Area of shaded part = 2\pi - (\frac{\pi }{2}+\frac{\pi }{2})

                                  = \pi

                                  = 3.14 square unit

Area of the shaded part is 3.14 square unit.

7 0
2 years ago
I am a square. One of my side is 9 feet long. What is my area?
Stella [2.4K]

Hello from MrBillDoesMath!

Answer:

81 ft^2

Discussion:

The area of a square is (length of a side)^2.  In this case,

Area = 9^2 = 81


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


8 0
3 years ago
14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5). Show your work.
Bess [88]
Hello : 
 the  <span>coordinates </span> circumcenter for ∆DEF : 
x = (1+7+1)/3
y = (1+1+5//3
x=3
y= 7/3
6 0
3 years ago
What is the square root of 49.<br> a. 7<br> a.<br> b. 6<br> C. 8<br> 2 d. 9
Mashcka [7]

Answer:

a. 7

Step-by-step explanation:

7x7=49

6 0
3 years ago
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