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ioda
3 years ago
9

Find the point of intersection algebraically for the system of equations. Make sure to write your answer as an ordered pair.

Mathematics
1 answer:
Vsevolod [243]3 years ago
4 0

Answer:

Step-by-step explanation:

hello :

1) the system is : y=5x+4

                           y = 2x+1

so :5x+4 =2x+1

5x-2x=1-4

3x= -3      so : x= -1     but y =2x+1 put x=-1 you have : y =-1

the solution : (x,y) =( -1, -1)

2)  the system  is :     x + y = 4                                    

                                4x -y = 1

means :   y = - x+4    (line red)

               y= 4x-1     (line blue)  

graficly : intrsection is : (x,y) =(1 ,3 )

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Two systems of equations are shown below:
Sati [7]
System A:
6x + y = 2
-x - y = -3

System B:
2x - 3y = -10
-x-y = -3

Solve:
System A:
6x + y = 2
y = 2 - 6x
-x - (2-6x) = -3
-x - 2 + 6x = -3
5x = -3 + 2
5x = -1
x = -1/5
y = 2 - 6(-1/5)
y = 2 + 6/5
y = 2 + 1.2
y = 3.2     System A: x = -1/5 or -0.2  ; y = 3 1/5 or 3.2

System B:
2x - 3y = -10
2x = -10 + 3y
x = -5 + 1.5y
-x - y = -3
-(-5 + 1.5y) -y = -3
5 - 1.5y - y = -3
-2.5y = -3 - 5
-2.5y = -8
y = 3.2
x = -5 + 1.5(3.2)
x = -5 + 4.8
x = -0.2   System B: x = -0.2 ; y = 3.2

<span>B) They will have the same solution because the first equations of both the systems have the same graph.</span>

6 0
3 years ago
Read 2 more answers
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Scilla [17]

(C.) 4.012


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7 0
3 years ago
Tony believes that the more time he spends at the record store, the more money he tends to spend. To see if he is correct, he ke
mixer [17]

Answer:

A, B, D

Step-by-step explanation:

It's not C because the correlation coeffecient connot be greater than 1 or less than -1.

4 0
3 years ago
A 4-person relay team ran a race in 48 seconds. What was the<br> average time for each person?
lakkis [162]

Answer:12 secondes

Step-by-step explanation:48 seconds/ 4 people= 12 second

4 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP ME <br><br> ANYONE WHO HELPS ME GETS ONE HUNDRED POINTS
DerKrebs [107]

Answer:

  80 ft²

Step-by-step explanation:

The carpet area will be the area of the pentagon less the 25 square feet taken up by the tree. The area of the pentagon is found by putting the given numbers into the given formula.

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