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Vsevolod [243]
2 years ago
5

which description best describes the solution to the following system of equations y= -2x +3 y= -x + 1

Mathematics
2 answers:
EleoNora [17]2 years ago
8 0

Answer:

The two systems will intercept at point x = 2, y=-1

Step-by-step explanation:

The solution of the two equations can be determined using substitution:

y=-2*x+3 (1)

y=-x+1 (2)

Substitue equation 1 into 2:

We obtain the equation in terms of x and simplify

-2*x+3=-x+1

x=2

Therefore x=2 we can substitute into equation 2

y=-(2)+1= -1 (2)

Therefore the systems will intercept at point (2,-1)

marin [14]2 years ago
3 0
For this case we have the following system of equations:
 y = -2x +3

y = -x + 1
 Equating the values of y we have:
 -2x +3 = -x + 1

 From here, we can clear the value of x.
 We have then:
 -2x + x = 1 - 3

-x = -2

x = 2
 Then, we look for the value of y.
 For this, we substitute x in any of the equations:
 y = -x + 1

y = -2 + 1

y = -1
 Answer:
 
The ordered pair solution of the system of equations, is given by:
 
(x, y) = (2, -1)
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kozerog [31]

Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.

Answer: 100 adult tickets  must be sold.

Step-by-step explanation:

step 1

let  x represent Adults

AND y represent children

Since the theater seats 250 people we have that

x+y = 250..... equation 1

Also price for Adult ticket = $11

and  price children ticket =$8

With total sales at $2,300, we have that

11x + 8y= 2300----- equation 2

Step 2

Making y subject in equation 1

' x+y = 250

y= 250-x

Putting y= 250- x in equation 2

11x + 8(250-x)= 2300

11x +2000-8x= 2300

11x -8x = 2300-2000

3x= 300

x 300/3

x= 100.

To find y

 x+y = 250

100+y=250

y=250-100

y=150

Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300

5 0
3 years ago
Sheet of paper.<br> 1. y&lt;4
TiliK225 [7]
Is there any more to the question? i’m confused
5 0
3 years ago
Plz help I need help
AveGali [126]
<h2><u>Answer</u><u> </u><u>:</u></h2>

x + 23 = -22

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x = -22 - 23

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8 0
2 years ago
6 1/6 feet in inches
Mice21 [21]
73 inches hope this helps
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3 years ago
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A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the bo
My name is Ann [436]

if 1 inch is added, you would add 2 inches to to each side of rectangle.  

You would have: W+2, and, L+2,  

Now let W+2 = x and, L+2 = y  

Total area =  x*y=M  

If 1 inch is added again, like above you add 2 inches to both sides, you would then have:

(x+2)(y+2)=M+52;  

xy+2x+2y+4=M+52;  

xy=M

2x+2y=48  

x+y=48/2=24  

Now solve :

W+2+ L+2=24  

W+L=20  

The perimeter is 2(W+L)=20*2 = 40 inches.

6 0
3 years ago
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