document.write( "Question 863301: I have exams coming up soon but I can't solve these revision questions on simultaneous equations! Can you please explain to me how to solve:\r
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document.write( "4a+2b=10
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document.write( "9a=27-3b\r
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document.write( "And \r
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document.write( "3x-4y=10
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document.write( "2x-y=5\r
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document.write( "Thank you so much if you answer this! I'm trying to be eligible for further maths in my GCSEs. \n" );
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Algebra.Com's Answer #520348 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 1)4a+2b=10 \n" ); document.write( "9a=27-3b \n" ); document.write( "solve second equation for a \n" ); document.write( "a = 3 - b/3 \n" ); document.write( "substitute for a in first equation \n" ); document.write( "4(3 - b/3) +2b = 10 \n" ); document.write( "12 - 4b/3 + 6b/3 = 10 \n" ); document.write( "2b/3 = -2 \n" ); document.write( "2b = -6 \n" ); document.write( "b = -3 \n" ); document.write( "substitute for b in first equation \n" ); document.write( "4a-6 = 10 \n" ); document.write( "4a = 16 \n" ); document.write( "a = 4 \n" ); document.write( "solution a = 4, b = -3 \n" ); document.write( "2)3x-4y=10 \n" ); document.write( "2x-y=5 \n" ); document.write( "solve second equation for y \n" ); document.write( "-y = 5 - 2x \n" ); document.write( "y = 2x - 5 \n" ); document.write( "now substitute for y in first equation \n" ); document.write( "3x - 4(2x - 5) = 10 \n" ); document.write( "3x -8x + 20 = 10 \n" ); document.write( "-5x = -10 \n" ); document.write( "x = 2 \n" ); document.write( "substitute for x in first equation \n" ); document.write( "6 - 4y = 10 \n" ); document.write( "-4y = 4 \n" ); document.write( "y = -1 \n" ); document.write( "solution x = 2, y = -1 \n" ); document.write( " \n" ); document.write( " |