# SOLUTION: How do you solve this problem? please show work. Solve by graphing y=2x+3 x+y=3

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: How do you solve this problem? please show work. Solve by graphing y=2x+3 x+y=3      Log On

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 Question 63647: How do you solve this problem? please show work. Solve by graphing y=2x+3 x+y=3Answer by funmath(2925)   (Show Source): You can put this solution on YOUR website!Solve by graphing E1: y=2x+3 E2: x+y=3 : For E1: (I'm graphing this line by plotting points.) Let x=0 and solve for y: y=2(0)+3 y=0+3 y=3 Plot (0,3) Now let x=2 and solve for y (Pick any point within reason.) y=2(2)+3 y=4+3 y=7 Plot (2,7) Connect the points and you should have this line: For E2: (I'm graphing this line by the intercept method.) Let x=0 and solve for y: 0+y=3 y=3 Plot (0,3) Notice that both lines have the same y-intercept. This is the solution to the system. (We're not supposed to know that yet, and most of the time we won't, so let's keep graphing.) Let y=0 and solve for x: x+0=3 x=3 Plot (3,0) Connect the points and you have a second line: The lines intersect at the solution: (0,3) Happy Calculating!!!!