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)\"\" \"About 
You can put this solution on YOUR website!

First, what do we know about each graph?
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\n" ); document.write( "\n" ); document.write( "Equation 1: y=4x+3 (will be the RED line)
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\n" ); document.write( "\n" ); document.write( "The slope is 4, and the y-intercept is 3 or the point (0,3)
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\n" ); document.write( "\n" ); document.write( "Equation 2: y=-x-3 (will be the GREEN line)
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\n" ); document.write( "\n" ); document.write( "The slope is -1, and the y-intercept is -2 or the point (0,-2)
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\n" ); document.write( "\n" ); document.write( "This will go a LONG way in helping us graph these equations.
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\n" ); document.write( "\n" ); document.write( "\"graph%28+600%2C+600%2C+-7%2C+7%2C+-7%2C+7%2C+4x%2B3%2C+-x-2+%29\"
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\n" ); document.write( "\n" ); document.write( "By inspection, it looks like our two lines intersect at the point (-1,-1).
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\n" ); document.write( "\n" ); document.write( "Thus, your answer would be the point (-1,-1).
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\n" ); document.write( "\n" ); document.write( "Of course, graphing will not always give you an exact answer.
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\n" ); document.write( "\n" ); document.write( "It is only an approximation.
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\n" ); document.write( "\n" ); document.write( "Solving the system by substitution or elimination will give you the exact answer.
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\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!
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\n" ); document.write( "\n" ); document.write( "I hope this helps! Keep practicing! :)
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