document.write( "Question 26634: I AM TRYING TO HELP MY DAUGHTER SOLVE THE FOLLOWING PROBLEM:
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document.write( "x=3y
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document.write( "3y-6=2x\r
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document.write( "Can you help me to explain how to solve this for her? Where do I begin?\r
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document.write( "Thanks,
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document.write( "Jan \n" );
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Algebra.Com's Answer #14460 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! You use \"substitution to solve this system of equations. \n" ); document.write( "1) x = 3y \n" ); document.write( "2) 3y - 6 = 2x Substitute the 3y = x from equation 1) into equation 2) and solve for x.\r \n" ); document.write( "\n" ); document.write( "x - 6 = 2x Subtract x from both sides. \n" ); document.write( "-6 = x or x = -6 Now substitute this value of x = -6 into either of the two original equations and solve for y. Using equation 1)\r \n" ); document.write( "\n" ); document.write( "-6 = 3y Divide both sides by 3. \n" ); document.write( "-2 = y or y = -2\r \n" ); document.write( "\n" ); document.write( "The solution is: (-6, -2) These are the x- and y-coordinates of the point of intersection of the two lines whose equations you started with. \n" ); document.write( "See the graph below:Red line: x = 3y Green line: 3y - 6 = 2x \n" ); document.write( " |