Question

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) =( , )

Answer 1

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 )