document.write( "Question 994380: I have been trying to solve the following linear equation
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document.write( "3X-5Y=11
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document.write( "2x-6y=2\r
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document.write( "I keep getting the wrong answer so when I checked with you guys I noticed that it was substituted with 2(11-5y)/3-6y=2\r
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document.write( "I understand the substitution part but how do I solve from here what does the / mean next to the 3 what operation I'm suppose to there, I'm confused please help. \n" );
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Algebra.Com's Answer #613476 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 3x -5y = 11 \n" ); document.write( "2x -6y = 2 \n" ); document.write( "************************ \n" ); document.write( "solve second equation for x \n" ); document.write( "add 6y to both sides of = \n" ); document.write( "2x = 6y + 2 \n" ); document.write( "divide both sides of = by 2 \n" ); document.write( "x = 3y + 1 \n" ); document.write( "************************ \n" ); document.write( "now substitute for x in first equation \n" ); document.write( "3(3y + 1) - 5y = 11 \n" ); document.write( "9y + 3 - 5y = 11 \n" ); document.write( "4y + 3 = 11 \n" ); document.write( "subtract 3 from both sides of = \n" ); document.write( "4y = 8 \n" ); document.write( "divide both sides of = by 4 \n" ); document.write( "y = 2 \n" ); document.write( "****************************************** \n" ); document.write( "substitute for y in first equation \n" ); document.write( "3x - 5(2) = 11 \n" ); document.write( "3x - 10 = 11 \n" ); document.write( "add 10 to both sides of = \n" ); document.write( "3x = 21 \n" ); document.write( "divide both sides of = by 3 \n" ); document.write( "x = 7 \n" ); document.write( "***************************************** \n" ); document.write( "solution is x = 7 and y = 2 \n" ); document.write( "**************************************** \n" ); document.write( "check this solution by substituting the solution in the second equation \n" ); document.write( "2(7) -6(2) = 2 \n" ); document.write( "14 - 12 = 2 \n" ); document.write( "2 = 2 \n" ); document.write( "our solution checks \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |