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
\n" ); document.write( "\n" ); document.write( "4a+2b=10
\n" ); document.write( "9a=27-3b\r
\n" ); document.write( "\n" ); document.write( "And \r
\n" ); document.write( "\n" ); document.write( "3x-4y=10
\n" ); document.write( "2x-y=5\r
\n" ); document.write( "\n" ); document.write( "Thank you so much if you answer this! I'm trying to be eligible for further maths in my GCSEs.
\n" ); document.write( "

Algebra.Com's Answer #520348 by rothauserc(4718)\"\" \"About 
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( "
\n" );