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

y = 5x + 4

y = 2x + 1

(x, y) = ( , )

Question 2
2. Find the point of intersection by graphing the system of equations.

x + y = 4

4x -y = 1

(x, y) =( , )

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 )

the line of

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi