document.write( "Question 171501: My niece was given an algebra problem for extra credit. I tried to solve it for her. But there were 2 Var. and only one equation. I tried to simplify the question:
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document.write( "5.5x -1.5y= 3.5x
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document.write( "soln.
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document.write( "5.5x-3.5x-1.5y=3.5x-3.5x
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document.write( "2x-1.5y=0\r
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document.write( "She said te answers were x=3 & y=4\r
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document.write( "How did they get that? \n" );
document.write( "
Algebra.Com's Answer #126638 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! My niece was given an algebra problem for extra credit. I tried to solve it for her. But there were 2 Var. and only one equation. I tried to simplify the question: \n" ); document.write( "5.5x -1.5y= 3.5x \n" ); document.write( "soln. \n" ); document.write( "5.5x-3.5x-1.5y=3.5x-3.5x \n" ); document.write( "2x-1.5y=0 \n" ); document.write( "She said the answers were x=3 & y=4 \n" ); document.write( "How did they get that? \n" ); document.write( "---------------------------- \n" ); document.write( "That is one of an infinite number of solutions for the equation. \n" ); document.write( "If 2x - 1.5y = 0 \n" ); document.write( "then y = (2/1.5)x = (4/3)x \n" ); document.write( "or the same statement is \n" ); document.write( "3y = 4x \n" ); document.write( "-------------- \n" ); document.write( "Obviously x = 3 and y = 4 fits that equation (makes it true). \n" ); document.write( "So does x = 6 and y = 8, or x = 9 and y = 12, etc. \n" ); document.write( "--------------------- \n" ); document.write( "I believe that is what the instructor is hoping the students \n" ); document.write( "will see, viz. that the equation has a numberless number of \n" ); document.write( "solutions. \n" ); document.write( "That would be true of most equations with two variables; I'm \n" ); document.write( "allowing for an exception that does come to mind at the moment. \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |