document.write( "Question 702205: Please help me solve this system of equations by graphing : y=4x+3 y=-x-2 \n" ); document.write( "
Algebra.Com's Answer #432872 by neatmath(302)![]() ![]() You can put this solution on YOUR website! First, what do we know about each graph? \r \n" ); document.write( "\n" ); document.write( "Equation 1: y=4x+3 (will be the RED line) \r \n" ); document.write( "\n" ); document.write( "The slope is 4, and the y-intercept is 3 or the point (0,3) \r \n" ); document.write( "\n" ); document.write( "Equation 2: y=-x-3 (will be the GREEN line) \r \n" ); document.write( "\n" ); document.write( "The slope is -1, and the y-intercept is -2 or the point (0,-2) \r \n" ); document.write( "\n" ); document.write( "This will go a LONG way in helping us graph these equations. \r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "By inspection, it looks like our two lines intersect at the point (-1,-1). \r \n" ); document.write( "\n" ); document.write( "Thus, your answer would be the point (-1,-1). \r \n" ); document.write( "\n" ); document.write( "Of course, graphing will not always give you an exact answer. \r \n" ); document.write( "\n" ); document.write( "It is only an approximation. \r \n" ); document.write( "\n" ); document.write( "Solving the system by substitution or elimination will give you the exact answer. \r \n" ); document.write( "\n" ); document.write( "But if you plug (-1,-1) into your two equations, you will indeed see that it does work. This time! \r \n" ); document.write( "\n" ); document.write( "I hope this helps! Keep practicing! :) \r \n" ); document.write( "\n" ); document.write( "******************************************************* \r \n" ); document.write( "\n" ); document.write( "Please visit the new all-ages Neat Math Facebook Page: www.facebook.com/neatmath \r \n" ); document.write( "\n" ); document.write( "to find math links or to post questions and comments on many math topics. \r \n" ); document.write( "\n" ); document.write( "Email Scott King: neatmath@yahoo.com for help with specific problems, \r \n" ); document.write( "\n" ); document.write( "or to inquire about income sensitive, low-cost or no-cost mathematics tutoring via email or other methods. \r \n" ); document.write( "\n" ); document.write( "Paypal is always accepted for detailed assistance with single problems, send contributions to: neatmath@yahoo.com \r \n" ); document.write( "\n" ); document.write( "Single problems would range from 50 cents to 5 dollars each, depending on their complexity. \r \n" ); document.write( "\n" ); document.write( "Assistance for single problems can be done via email with scans or photos to help illustrate concepts. \r \n" ); document.write( "\n" ); document.write( "Thank you and good luck with all your future studies! \n" ); document.write( " |