SOLUTION: how can i solve the system by graphing. 2x + y = 4 x + y = 3

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: how can i solve the system by graphing. 2x + y = 4 x + y = 3       Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 61008: how can i solve the system by graphing.
2x + y = 4
x + y = 3

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
how can i solve the system by graphing.
E1: 2x + y = 4
E2: x + y = 3
:
For E1: let x=0 and solve for y.
2(0)+y=4
0+y=4
y=4 Plot (0,4)
Now let y=0 and solve for x.
2x+0=4
2x=4
2x/2=4/2
x=2 Plot (2,0)
Connect the points and you have a line.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2x%2B4%29
For E2: let x=0 and solve for y.
0+y=3
y=3 Plot(0,3)
Let y=0 and solve for x.
x+0=3
x=3 Plot (3,0)
Connect the points and you have another line:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2x%2B4%2C-x%2B3%29
They connect at (1,2)<--this is the solution of the system.
Happy Calculating!!!