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Masja [62]
4 years ago
9

Y = 2x + 3 y = -2x + 15 Can you please explain how to get the answer.

Mathematics
2 answers:
-Dominant- [34]4 years ago
4 0

Answer:

x = 3 and y = 9

Step-by-step explanation:

Given:

y = 2x + 3 .......................... equation i

y = -2x + 15 ........................ equation ii

since y is equals to the two functions , we can equate the two values of y . That is , equate equation i and ii , we have

2x + 3 = -2x + 15

Add 2x to both sides , we have

2x + 2x + 3 = -2x + 2x + 15

4x + 3 = 15

subtract 3 from both sides , we have

4x = 12

divide both sides by 4 , then

x = 3

substitute x = 3 into equation i to get the value of y , that is

y = 2(3) +3

y = 6 + 3

y = 9

Therefore :

x = 3 and y = 9

Bezzdna [24]4 years ago
4 0

Answer:

x =3 and y = 9

Step-by-step explanation:

This is a simultaneous equation

y = 2x + 3      is equation 1

y = -2x + 15    is equation 2

Using the elimination method, we will add the two equations together

Then, we will have

2y = 18

Note that y+y =2y, 2x+(-2x) = 0 and 3+15 =18

y = 18/2  (dividing both sides by 2)

Therefore, y = 9.

Since we know the value of y, we can substitute 9 for y in any of the equation.

Lets substitute 9 for y in equation 1, we will have

9 = 2x + 3

collecting like the like terms

9 - 3 = 2x

6 = 2x

if we divide both sides by the coefficient of x, which is 2, we will have

x = 6/2

x = 3

Therefore x = 3 and y = 9

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Read 2 more answers
NEED HALP!!! Find the ordered pair $(s,t)$ that satisfies the system
satela [25.4K]

Answer:

(-8/7 ; 5/7)

Step-by-step explanation:

5t + 1/2s = 3 - - - (1)

3t - 6s = 9 - - - - - (2)

Multiply (1) by 12 and (2) by 1

Add the result to eliminate s

60t + 6s = 36

3t - 6s = 9

____________

63t = 45

t = 45 / 63

t = 5/7

Put t = 5/7 in either (1) or (2) to obtain the value of s

3(5/7) - 6s = 9

15/7 - 6s = 9

-6s = 9 - 15/7

-6s = (63 - 15)/7

-6s = 48/7

s = 48/7 * - 1/6

s = - 8/7

5 0
3 years ago
We assume that the outcomes of successive trials in a binomial experiment are
NeTakaya

The <em>correct answer</em> is:


Independent.


Explanation:


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A fixed number of trials.;

Each trial is independent of the others.;

There are only two outcomes; and

The probability of each outcome remains constant from trial to trial.


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6 0
3 years ago
Does anyone know how to do this ??? <br> -view attachment
cricket20 [7]

As soon as I read this, the words "law of cosines" popped
into my head.  I don't have a good intuitive feeling for the
law of cosines, but I went and looked it up (you probably
could have done that), and I found that it's exactly what
you need for this problem.

The "law of cosines" relates the lengths of the sides of any
triangle to the cosine of one of its angles ... just what we need,
since we know all the sides, and we want to find one of the angles.

To find angle-B, the law of cosines says

       b² = a² + c² - 2 a c cosine(B)

B  =  angle-B
b  =  the side opposite angle-B = 1.4
a, c = the other 2 sides = 1 and 1.9

                  (1.4)² = (1)² + (1.9)² - (2 x 1 x 1.9) cos(B)

                 1.96  =  (1) + (3.61)  -  (3.8) cos(B)

Add  3.8 cos(B)  from each side:

                 1.96 + 3.8 cos(B) = 4.61

Subtract  1.96  from each side:

                             3.8 cos(B) =  2.65

Divide each side by  3.8 :

                                  cos(B)  =  0.69737  (rounded)

Whipping out the
trusty calculator:
                                 B  = the angle whose cosine is 0.69737

                                      =  45.784° .

Now, for the first time, I'll take a deep breath, then hold it
while I look back at the question and see whether this is
anywhere near one of the choices ...

By gosh !  Choice 'B' is  45.8° !                    yay !
I'll bet that's it !

8 0
4 years ago
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