document.write( "Question 1162295: 7x + 10y = 1
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document.write( "-7x + -10y =-1 \r
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document.write( "is this a no solution or infinitely many?\r
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document.write( "I got infinitely many. \r
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document.write( "Thank u \n" );
document.write( "
Algebra.Com's Answer #786075 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These two equations are EQUIVALENT to each other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It means that you have, actually, one equation for two variables.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It has INFINITELY many solutions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can take any value for one variable and then adjust the second value to have true solution to one equation\r \n" ); document.write( "\n" ); document.write( "(and hence for both equations).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Geometrically, these two equations represent one line (the same line) in a coordinate plane;\r \n" ); document.write( "\n" ); document.write( "all the points of this line represent infinitely many solutions.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That's all.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |