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Dmitrij [34]
3 years ago
14

X=y+2 X=2y+1 Solving Systems of Equations by subtraction Please solve this

Mathematics
1 answer:
vivado [14]3 years ago
8 0

Answer:

x=3

y=1

Step-by-step explanation:

We can subtract the first equation from the second to find the value of y, although we can also do this vice versa.

x-x=2y+1-y-2

y-1=0

y=1

Now, we can use substitution to solve for x:

x = y+2 (pick any equation for substitution)

x=1+2

x=3

Hope this helps :)

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3 years ago
Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expendi
elixir [45]

Answer:

a- x = 5/3, or x = -7/2

b- 675

c - 5·x + 2

Step-by-step explanation:

The polynomial representing the capital of the two partners = 6·x² + 11·x - 35

a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

6·x² + 11·x - 35 = 0

Factorizing the above equation with a graphing calculator gives;

(3·x - 5)·(2·x + 7)

Therefore;

x = 5/3, or x = -7/2

b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675

The total expenditure of Vicky and Micky when x = 10 is 675

c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2

7 0
3 years ago
How to solve wx=x+5, tw=4x+5: tx
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Hello : 
wt = wx +xt
xt = wt - wx=(4x+5) - (x+5) = 3x
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Explain the Error: Jayme tells her friend that ordered pairs that have an x-coordinate of O lie on the x-axis. She uses the orig
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Brynn and Denise launch their rockets at the same time. The height of Brynn’s rocket, in meters, is given by the function f(x)=-
Vladimir [108]

Answer:

The height of rocket is 102.7 meter.

Step-by-step explanation:

Given : Brynn and Denise launch their rockets at the same time.

The height of Brynn’s rocket, in meters, is given by the function f(x)=-4.9x^2+75x , where x is the number of seconds after the launch.  

The height of Denise’s rocket, in meters, is given by the function  

g(x)=-4.9x^2+50x+38,  where x is the number of seconds after the launch.

There is a moment when the rockets are at the same height.

To find : The height

Solution :

When the rockets have same height

So, f(x)=g(x)

-4.9x^2+75x=-4.9x^2+50x+38

-4.9x^2+75x+4.9x^2-50x=38

25x=38

x=\frac{38}{25}

x=1.52

Now, we put x value in any of the function to find height.

f(x)=-4.9x^2+75x , x=1.52

f(x)=-4.9(1.52)^2+75(1.52)

f(x)=-11.32096+114

f(x)=102.67

Nearest tenth = 102.7

Therefore, The height of rocket is 102.7 meter.

8 0
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