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Papessa [141]
2 years ago
13

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before ad

ding the equations together? first equation: second equation:
Mathematics
1 answer:
aliya0001 [1]2 years ago
4 0

Answer:

See below.

Step-by-step explanation:

Here is an example:-

Solve by elimination:

2x - 3y  =   0

3x + 2y =  13

To eliminate the y terms Multiply the first equation by 2 and the second by 3. This gives:

4x  - 6y = 0

9x + 6y = 39      Adding the 2 equations:

13x + 0 = 39

13x = 39

x = 39/13 = 3

Finally we find y by plugging x = 3 into the first equation:

2(3) - 3y = 0

3y = 2(3) = 6

y = 2.

You might be interested in
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with an average weight of 5
Lisa [10]

Answer: 0.4987

Step-by-step explanation:

Given : The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with

Mean : \mu=5\text { lbs}

Standard deviation : \sigma= 2\text{ lbs}

Let X be the random variable that represents the weight of randomly selected student .

Z score : z=\dfrac{x-\mu}{\sigma}

For x = 5 lbs

z=\dfrac{5-5}{2}=0

For x = 11 lbs

z=\dfrac{11-5}{2}=3

By using the standard normal distribution table ,  the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs :-

P(5

Hence, the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs =0.4987

5 0
3 years ago
Whats the radical of 12?
Harrizon [31]

Answer:

2√3

Step-by-step explanation:

So √12 is in radical form. I think what you are asking for is to reduce the expression to its **simplest** readical form.

So 12 = 4*3, √12 = √4 * √3.

So 12 = 4*3, √12 = √4 * √3.

We can ‘reduce’ this by noting that √4 =2, so the expression becomes 2√3.

This cannot be further reduced because 3 isn’t a square or divisible by a square, so 2√3 is the simplest radical form.

4 0
3 years ago
If the function 5x+y=1 has the domain (-2,1,6) then what is the corresponding range?
zysi [14]

The corresponding range of the domain is (11, -4, -29)

<h3>How to determine the range?</h3>

The function is given as:

5x + y = 1

Make y the subject

y = 1 - 5x

The domain is given as:

(-2,1,6)

Substitute these values in y = 1 - 5x

y = 1 - 5(-2) = 11

y = 1 - 5(1) = -4

y = 1 - 5(6) = -29

Hence, the corresponding range of the domain is (11, -4, -29)

Read more about domain and range at:

brainly.com/question/1632425

#SPJ1

6 0
2 years ago
The perimeter of a basketball court is 278ft. The length is 41ft longer than the width. Find the dimensions of the court.
inysia [295]
Since Perimeter is Length+ Width, and there are "two lengths" and "two widths", the formula needed here is p=2l+2w. We have the P, so using that, along with knowing that l is 41ft longer than w;
p = 278 , l = w+41
278 = 2l + 2w

278 = 2(w+41) + 2w

We'll use the DISTRIBUTIVE PROPERTY first: 278 = 2w + 82 + 2w

Then we'll COMBINE LIKE TERMS: 278 = 4w + 82

Next we'll subtract 82 from both sides: 196 = 4w

And finally divide both sides by 4:
49 = w

Since the length is w+41 and we now know the width, we can see what the length is: l = w+41 , l = 49 + 41 , l = 90.

Now that we know the length, we can see what the dimensions of the court are:
Perimeter is 278ft
Width is 49ft
And the Length is 90ft.
7 0
4 years ago
Is 1.76 a rational number ?
inna [77]
Yes....a rational number can be turned into a fraction
1.76 = 176/100
6 0
3 years ago
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