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Arlecino [84]
3 years ago
8

Solve − 2 x − 10 y = 10

Mathematics
2 answers:
skad [1K]3 years ago
8 0

Answer:

x=-10 and y=1

Step-by-step explanation:

-2(-10)=20

-10(1)=-10

20-10=10

Mice21 [21]3 years ago
5 0

Step 1: isolate the "x" by bring everything else to the other side

-2x-10y=10\\-2x= 10 +10y\\x= -5 -5y

Step 2: The equation found above is the equation x is equal to so you plug it into all the x's the original equation to find y

-2 (-5 - 5y) -10y = 10

10 + 10y -10y = 10\\10y - 10y = 0\\0y = 0\\y = 0

Step 3: Plug in your newly found y (0) into the original equation to find the x

-2x- 10(0) = 10\\-2x - 0 = 10\\-2x =10\\x = -5

Hope this helped! Let me know if there is anything I need to clarify or explain more in depth!

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Solve the equation 4t =6t-8/5
adoni [48]

Answer:

3.2

Step-by-step explanation:

0 = 2t - 8/5

8/5 = 2t

16/5 = t

3.2 = t

5 0
3 years ago
Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns
Vanyuwa [196]

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

x+y=32000        ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

0.04x+0.07y=2000           ...(ii)

From (i) and (ii), we get

0.04x+0.07(32000-x)=2000

0.04x+2240-0.07x=2000

-0.03x=2000-2240

-0.03x=-240

Divide both sides by -0.03.

x=\dfrac{-240}{-0.03}

x=8000

Put x=8000 in (i).

8000+y=32000  

y=32000-8000  

y=24000  

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

8 0
3 years ago
Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth.
Neporo4naja [7]

Answer:

Step-by-step explanation:

-2.1 and 0.2

8 0
3 years ago
2/x multiplied by what equals 1
Varvara68 [4.7K]

Answer:

Multiplied by2x

2/x ×2x =1

5 0
3 years ago
What is the third quartile of this data set 21,24,25,28,29,35,37,43,44
FrozenT [24]

Answer:

40

Step-by-step explanation:

The data is

21,24,25,28,29,35,37,43,44

To find the third quartile we have to arrange the data in increasing order

so the data in increasing order is

21,24,25,28,29,35,37,43,44

total number of values = 9

Median value = (n + 1 )/ 2

                       =(9+1)/2

                       =5th value

so the median is  29

Lower half of the data is the values before the median and upper half of the data is values after the median

so lower half = {21,24,25,28}

Upper half = {35,37,43,44}

so to find the third quartile we will use the upper half of the values

Third quartile means that the median of the values of upper half of the data

As the total No of value in upper half is 4 which is an even no

we will take the middle values of the upper half and take their mean

so

Third Quartile = \frac{37+43}{2}

                        =\frac{80}{2}

                        =40

so the value of third quartile is 40

4 0
3 years ago
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