document.write( "Question 967163: Solve for both variables:
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document.write( "6x + 2y =10
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document.write( "5x -4y =-3\r
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document.write( "Teacher's directions: 1) solve each equation for same variable 2) set them equal to each other and solve for one variable 3) plug answer into both equations
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document.write( "4) write answer as (x,y) \n" );
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Algebra.Com's Answer #591117 by amarjeeth123(569)![]() ![]() ![]() You can put this solution on YOUR website! 6x + 2y =10........equation 1 \n" ); document.write( "5x -4y =-3.........equation 2 \n" ); document.write( "From 1 we get 3x+y=5 \n" ); document.write( "y=5-3x \n" ); document.write( "4y=20-12x.......equation 3 \n" ); document.write( "From 2 we get 4y=5x+3.......equation 4 \n" ); document.write( "Equating 3 and 4 we get, \n" ); document.write( "20-12x=5x+3 \n" ); document.write( "12x+5x=20-3 \n" ); document.write( "17x=17 \n" ); document.write( "x=1 \n" ); document.write( "y=5-3=2 \n" ); document.write( "6(1)+2(2)=6+4=10 \n" ); document.write( "5(1)-4(3)=5-8=-3 \n" ); document.write( "(1,2) is the solution which satisfies both equations. \n" ); document.write( " |