document.write( "Question 977582: I need to solve for y and x using the substitution method but im stuck or it could have no answers im not sure...the equations are \r
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document.write( "3x+2y=27
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document.write( "5x-3y=7\r
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document.write( "I have to solve for x and y thank you if you can help me. \n" );
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Algebra.Com's Answer #599120 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "3x+2y=27...(1) \n" ); document.write( "5x-3y=7 ...(2) \n" ); document.write( "Use number(2) \n" ); document.write( "5x - 3y = 7 \n" ); document.write( "5x = 7 + 3y \n" ); document.write( "x = (7 + 3y)/5 \n" ); document.write( "Substitute this value for x in (1) \n" ); document.write( "3x + 2y = 27 \n" ); document.write( "3((7+3y)/5) + 2y = 27 \n" ); document.write( "Multiply out \n" ); document.write( "(21+9y)/5 + 2y = 27 \n" ); document.write( "Multiply through by 5 \n" ); document.write( "21 + 9y + 10y = 135 \n" ); document.write( "Collect like terms \n" ); document.write( "19y = 135 - 21 \n" ); document.write( "19y = 114 \n" ); document.write( "y = 6 \n" ); document.write( "Substitute y = 6 into (2) \n" ); document.write( "5x - 3y = 7 \n" ); document.write( "5x - 3(6) = 7 \n" ); document.write( "5x -18 = 7 \n" ); document.write( "5x = 7 + 18 \n" ); document.write( "5x = 25 \n" ); document.write( "x = 5 \n" ); document.write( "Hope this helps:-) \n" ); document.write( " \n" ); document.write( " |