document.write( "Question 63647: How do you solve this problem? please show work.
\n" ); document.write( "Solve by graphing y=2x+3
\n" ); document.write( " x+y=3
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Algebra.Com's Answer #44373 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Solve by graphing
\n" ); document.write( "E1: y=2x+3
\n" ); document.write( "E2: x+y=3
\n" ); document.write( ":
\n" ); document.write( "For E1:
\n" ); document.write( "(I'm graphing this line by plotting points.)
\n" ); document.write( "Let x=0 and solve for y:
\n" ); document.write( "y=2(0)+3
\n" ); document.write( "y=0+3
\n" ); document.write( "y=3 Plot (0,3)
\n" ); document.write( "Now let x=2 and solve for y (Pick any point within reason.)
\n" ); document.write( "y=2(2)+3
\n" ); document.write( "y=4+3
\n" ); document.write( "y=7 Plot (2,7)
\n" ); document.write( "Connect the points and you should have this line:
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C2x%2B3%29\"
\n" ); document.write( "For E2:
\n" ); document.write( "(I'm graphing this line by the intercept method.)
\n" ); document.write( "Let x=0 and solve for y:
\n" ); document.write( "0+y=3
\n" ); document.write( "y=3 Plot (0,3)
\n" ); document.write( "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.)
\n" ); document.write( "Let y=0 and solve for x:
\n" ); document.write( "x+0=3
\n" ); document.write( "x=3 Plot (3,0)
\n" ); document.write( "Connect the points and you have a second line:
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C2x%2B3%2C-x%2B3%29\"
\n" ); document.write( "The lines intersect at the solution: (0,3)
\n" ); document.write( "Happy Calculating!!!!
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