SOLUTION: Hello how do i solve the system by graphing: x + y = 4 y = 2x + 1 thank you.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Hello how do i solve the system by graphing: x + y = 4 y = 2x + 1 thank you.      Log On


   

Question 62276This question is from textbook
: Hello
how do i solve the system by graphing:
x + y = 4
y = 2x + 1
thank you. This question is from textbook

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
how do i solve the system by graphing:
E1: x + y = 4
E2: y = 2x + 1
For E1, let x=0 and y=?
0+y=4
y=4 Plot (0,4)
Now let y=0 and x=?
x+0=4
x=4 Plot (4,0)
Connect the points and you have this line:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%2B4%29
For E2, let x=0 and y=?
y=2(0)+1
y=0+1
y=1 Plot (0,1)
Now let x=2 and y=?
y=2(2)+1
y=4+1
y=5 Plot (0,5)
Connect the points and you have a second line:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%2B4%2C2x%2B1%29
Their point of intersection is the solution: (x,y)=(1,3)
Happy Calculating!!!