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tensa zangetsu [6.8K]
3 years ago
13

2(x+y)=23-2y 6x-7=20-5y​

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

the solution is (-1/2, 6).

Step-by-step explanation:

Next time, please share the instructions.

Start by carrying out the indicated multiplication:

2x + 2y = 23 - 2y

Consolidate l ike terms:  combine 2y and -2y:  result:  +4y on the left side:

2x + 4y = 23

Let's solve this system using elimination by substitution.  Multiply 2x + 4y = 23 by -3 to obtain a -6x term:

-3(2x + 4y = 23) = -6x - 12y = -69.  Now combine this result with the second equation:

-6x - 12y = -69

6x + 5y  = 20 + 7

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

        - 7y = -42

Dividing both sides by -7, we get y = 6.  Subbing 6 for y in the 2nd equation, we get:

6x = 27 -5(6), or

6x  =  27 - 30 = -3

Then x = -3/6, or x = -1/2

and the solution is (-1/2, 6).

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An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the
uysha [10]

Answer:

5x less than 300  - 165

Step-by-step explanation:

7 0
3 years ago
Solve -17 + n/5 = 33.
vova2212 [387]
-17 + n/5 = 33

First, we can start out by regrouping our terms. This will switch our fraction and number around and also make the original addition to subtraction.
\frac{n}{5} - 17 = 33

Second, we can start out our goal by trying to get the variable (n) on one side by itself and to equal something. Let's begin by adding 17 to each side of the problem.
\frac{n}{5} = 33 + 17

Third, we can now add the numbers on the right side of our problem. Simple. Add 33 + 17 to get 50.
\frac{n}{5} = 50

Fourth, we now have to multiply both sides by 5. Why? We are getting rid of the fraction so that the variable can become by itself.
n = 50 \times 5

Fifth, our last step is to multiply 50 × 5. Use a calculator, long multiplication, etc. 50 × 5 = 250. 
n = 250

Answer: \fbox {n = 250}
4 0
4 years ago
Read 2 more answers
What is <br> 6 3/5<br><br> Write your answer as a mixed number.
galina1969 [7]

Answer:

33/5

Step-by-step explanation:

6 3/5 = 33/5

6 x 5 = 30

30 + 3 = 33

33/5.

4 0
3 years ago
Read 2 more answers
How to find the volume of the round bodies?
faltersainse [42]
Pi x Radius squared should be your answer.
7 0
4 years ago
Supposethat z is a normally distributed variable with variance 4. You collect a sample of size n for which you get a sample aver
Nikitich [7]

Answer:

The sample size is 4

Step-by-step explanation:

Null hypothesis: The mean is 2

Alternate hypothesis: The mean is less than 2

Mean = 3

sd = sqrt(variance) = sqrt(4) = 2

At 95% confidence level, t-value is 1.960

Assuming the lower bound of the mean is 1.04

Lower bound = mean - (t×sd/√n)

1.04 = 3 - (1.96×2/√n)

3.92/√n = 3 - 1.04

3.92/√n = 1.96

√n = 3.92/1.96

√n = 2

n = 2^2

n = 4

7 0
3 years ago
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