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natulia [17]
3 years ago
5

Solve the following system of equations using elimination (Do not multipy)

Mathematics
2 answers:
aivan3 [116]3 years ago
5 0
1) 5x - 6y = -32 --> equation 1
    3x + 6y = 48  --> equation 2
eliminating y from both of the equations and adding the rest of the terms
we get,
    8x = 16
    dividing 8 on both sides
    x = 2
Substituting the value of x in equation 1
   5(2) - 6y = -32
    10 - 6y = -32
   -6y = -12 ( dividing both sides by -6)
    y = 2

2) 
-3x - 3y = 9 ---> equation 1
      3x - 4y = 5 --> equation 2
eliminating x from both equations and adding the rest of the terms
 we get,
     -7y = 14 ( dividing both sides by -7 )
      y = -2
Substituting the value of y in the equation 1
    -3x - 3(-2) =9
    -3x + 6 = 9 (subtracting both sides by -6)
     -3x = 3
     x = -1

Hope this helps you..  :)
Nata [24]3 years ago
4 0
1) 5x-6y=-32
3x+6y=48
5x+3x=8x
-32+48=16
16/8= 2
2) -3x-3y=9
3x-4y=5
-3y-4y=-7
9+5=14
14/-7= -2
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marshall27 [118]
Hello there,

best way to do this one is set up your story line....

4h + 8h + 50 = 164$...

let's make this easier to look at and combine like terms..

12h + 50 = 164$...

Beautiful!!! Now let's try and get the h alone?...

minus 50 to both sides...

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now divide both sides by 12...

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Looks like you made 9.50$ an hour but Hey, at least you got that bonus ;)
6 0
3 years ago
An apple grower finds that if he plants 80 trees per acre, each tree will yield 26 bushels of fruit. He estimates that for each
hammer [34]

Answer: The maximum revenue is $7482 . To get a maximum yield , The number of trees per acre needed is 43.

Step-by-step explanation:

Solution:

Let x represent the extra tree

So for an additional tree the yield of each tree will decrease by 4 bushels.

(80 +x)(26-4x) by expanding

2080 - 320x +26x -4x^2

Using x= -b/2a

X= 294/ -8

X= - 36.75

So apparently he currently has far too many trees per acre. To get the maximum yield , she needs to reduce the number of trees per acre by 36.75

So the number of trees per acre for maximum yield is

80-36.75

=43.25

Approximately x=43

So by reducing he get extra bushel in the tune of 174.

Total revenue= 174 ×43× 1$

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3 0
3 years ago
What is your number?
Goryan [66]

Answer:

13 and 11

Step-by-step explanation:

how is helpful

5 0
3 years ago
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How does the slope of g(x) compare to the slope of f(x)?
Maru [420]

Answer:

The answer is 'The slope of g(x) is less than the slope of f(x)'  

Step-by-step explanation:

Given the graphs of f(x) and g(x). we have to compare the slops of these two.

The graph of f(x) passes through the points (1,0) and (2,2)

∴ \text{The slope of f(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{2-0}{2-1}=2

The graph of g(x) passes through the points (0,2) and (2,3)

∴ \text{The slope of g(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{2-0}=\frac{1}{2}

As \frac{1}{2}

This shows that the

The slope of g(x) is less than the slope of f(x).

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