document.write( "Question 507375: Hi there,
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document.write( "This is my question: State how many solutions exist for each set of equations and state whether the lines are consistent or inconsistent and independent or dependent: \r
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document.write( "1) A)6x-2y=2
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document.write( " 9x-3y=1
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document.write( "I have made it this far in solving the problem, but do not get what I am doing wrong:
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document.write( "-- 9x-3y=1=>9x=1+3y
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document.write( "-- 6x-2y=2 => 15(1+3y)-2y =2
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document.write( "-- 15+45Y-2y=2
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document.write( "-- 43/43y = -13/43
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document.write( "-- Y = ??\r
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document.write( "I understand that you must use substitution, for example if it were x+y=9 then it would be x=9-y. However I've only ever done it with just a singe Variable. I do not know what to do since this question has a \"9x\"... do I add the \"9x\" to the 6x? creating 15x? I hope you understand and see where I went wrong. Thank you in advance for answering my question.\r
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Algebra.Com's Answer #340452 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! the ratio of the x and y coefficients is the same in both equations\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplying the 1st eqn by 3/2 gives ___ 9x - 3y = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equations generate 2 parallel lines ___ because the lines never intersect, there is no solution\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "because the equations are the same on the left side but different on the right, they are inconsistent \n" ); document.write( " |