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faltersainse [42]
4 years ago
10

Solve using elimination method -3x + 5y = 8 -2x + 7 y = -2​

Mathematics
1 answer:
Slav-nsk [51]4 years ago
6 0
  • Answer:

<em>x = - 6</em>

<em>y = - 2</em>

  • Step-by-step explanation:

<em>-3x + 5y = 8  | ×(-2)</em>

<em>-2x + 7 y = -2​ | ×3</em>

<em />

<em>6x - 10y = - 16</em>

<em>- 6x + 21y = - 6</em>

<em>add</em>

<em>6x - 6x - 10y + 21y = - 16 - 6</em>

<em>11y = - 22</em>

<em>y = - 22 : 11</em>

<em>y = - 2</em>

<em>replace y</em>

<em>- 2x + 7(-2) = - 2</em>

<em>- 2x - 14 = - 2</em>

<em>- 14 + 2 = 2x</em>

<em>2x = - 12</em>

<em>x = - 12 : 2</em>

<em>x = - 6</em>

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Please help! .........
stira [4]

Answer:

1) When x is 1, y is 4, and vice versa

2) When x is -6, y is 42, and when x is 7, y is 114

3) When x is -2, y is 2, and when x is 8, y is 42

Step-by-step explanation:

1)

y=x^2-6x+9

y+x=5 which can be rearranged as y=5-x.

Substituting this lone y into the first equation, you get:

5-x=x^2-6x+9

Move everything to one side:

x^2-5x+4=0

Factor:

(x-4)(x-1)=0

x=1, 4

y=4, 1

2)

y-30=12x which can be rearranged as y=12x+30.

y=x^2+11x-12

Let's use elimination this time and subtract the first equation from the second:

0=x^2-x-42

Factor:

(x-7)(x+6)=0

x=-6, 7

y= -42, 114

3)

y=x^2-2x+6

y=4x+10

Let's set the two equations equal to each other through substitution:

x^2-2x-6=4x+10

Move everything to one side:

x^2-6x-16=0

Factor:

(x-8)(x+2)=0

x=-2, 8

y= 2, 42

Hope this helps!

6 0
3 years ago
What is the domain and range of the function y= (200/x) + 2
lukranit [14]

Answer:

Answers are below

Step-by-step explanation:

The domain of the function is all real numbers.

The range of the function is also all real numbers.

I graphed the function on the graph below.

6 0
4 years ago
Write the equation in Slope-Intercept Form given these two points:<br> (0,8) (-2,2)
In-s [12.5K]

Answer:

y     = 3x + 8

Step-by-step explanation:

to find slope intercept if we have 2 points use this formula:

find the slope first: m= (y2-y1)/ (x2-x1)

after get the slope, use this formula:

y-y1 = m(x-x1)

Answer:

m= (y2-y1)/ (x2-x1)

  = (2-8)/ (-2-0)= -6/-2 = 3

y-y1 = m(x-x1)

y-8 = 3 (x-0)

y     = 3x + 8

hope it helps

8 0
4 years ago
Mrs. Huang operates a soybean farm. She buys many supplies in bulk. Often the bulk products need to be custom mixed before Mrs.
Evgen [1.6K]

To solve this problem, let us first assign variables. Let us say that:

x = volume of 67% herbicide solution

y = volume of 46% herbicide solution

 

The total volume should be 42 liters therefore:

x + y = 42

x = 42 – y                                             --> 1

 

The component mass balance on the pure herbicide would be:

0.67 x + 0.46 y = 0.55 (42)              --> 2

 

Substituting equation 1 to 2:

0.67 (42 – y) + 0.46 y = 23.1

28.14 – 0.67 y + 0.46 y = 23.1

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y = 24 L

 

Calculating for x using equation 1:

x = 42 – 24

x = 18 L

 

Therefore we only need 18 L of the 67% herbicide solution.

 

Answer:

A. 18 L

6 0
4 years ago
Read 2 more answers
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sergij07 [2.7K]

Answer:

NO

Step-by-step explanation:

If the bank account has a fee of $2 per month, it means that at the end of the year you will have $500 - $2 × 12 = 476.

If it pays 2% per year, then, at the end of the year you will receive: $476×0.02 = $9.52.

If you go ahead you will lose money ($14,48) . In order to earn money, you need to put more money.

5 0
4 years ago
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