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zvonat [6]
2 years ago
15

Find the solution to the systems of equations using the elimination method.

Mathematics
2 answers:
vredina [299]2 years ago
5 0
X=-2/3y+11/3

x=-3/5y+14/5
Naily [24]2 years ago
4 0

Answer:

x = 1 ; y = 3

Step-by-step explanation:

5(2x + 3y = 11)

2(5x + 3y + 14)

(distribute)

10x + 15y = 55

10x + 6y = 28

(subtract)

9y = 27

(divided 9 to both sides)

9 divided by 9 cancels out and 27 divided by 9 = 3

so..

y = 3

now, using any equation, (i’ll be using 2x + 3y =11) plug in the y value to find the x value

2x + 3y = 11

2x + 3(3) = 11

(multiply 3 x 3)

2x + 9 = 11

(subtract 9 from 9 and 11)

2x = 2

(divide 2 from both sides)

2 divided by 2 = 1

therefore...

x = 1

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                                                 hope it helps

4 0
2 years ago
Read 2 more answers
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nikdorinn [45]

Answer:

x^2-7x+3=0

Step-by-step explanation:

5 0
3 years ago
As you can see I keep getting questions wrong.... Can you answer the last question?
aivan3 [116]

Answer:

  y = 0

Step-by-step explanation:

It is always a good idea to look at the question and make some observations about it. Here, you might observe ...

  • all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
  • y is a factor of every exponent

The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.

__

To solve the equation, you can write it in terms of powers of 3.

  (3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)

  3^(-5y) = 3^(-15y)·3^(-4y)

  3^(-5y) = 3^(-19y)

  -5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3

  14y = 0 . . . . . . . . . . add 19y

  y = 0 . . . . . . . . . . . one solution

______

The rules of exponents we used are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

4 0
3 years ago
Which mixed number is greater 5 7/24 or 5 5/16
Sauron [17]
5 5/16 is greater.
You can find that out by dividing 5/16 and 7/24
So that gives .31 and .29
Thus, 5 5/16 are greater
3 0
3 years ago
Read 2 more answers
What is a bar graph ?
Gre4nikov [31]

Answer:

a diagram in which the numerical values of variables are represented by the height or length of lines or rectangles of equal width.

Step-by-step explanation:

5 0
3 years ago
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