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 \n" );
document.write( "
Algebra.Com's Answer #44373 by funmath(2933)![]() ![]() ![]() 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( " \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( " \n" ); document.write( "The lines intersect at the solution: (0,3) \n" ); document.write( "Happy Calculating!!!! \n" ); document.write( " |