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:
\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\r
\n" ); document.write( "\n" ); document.write( "She said te answers were x=3 & y=4\r
\n" ); document.write( "\n" ); document.write( "How did they get that?
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Algebra.Com's Answer #126638 by stanbon(75887)\"\" \"About 
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.
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\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.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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