document.write( "Question 54468: 2x + 3y = 1
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document.write( "5x + 3y = 16
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document.write( "x = ?
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document.write( "y = ? \n" );
document.write( "
Algebra.Com's Answer #36715 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! -5(2x + 3y = 1)[Use the elimination method to solve for x and y] \n" ); document.write( "+2(5x + 3y = 16) \n" ); document.write( "---------------\r \n" ); document.write( "\n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "-10x-15y=-5 \n" ); document.write( "+10x+6y=32 \n" ); document.write( "------------- \n" ); document.write( "+0x-9y=27 \n" ); document.write( ". \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "-9y=27 [Solve for y] \n" ); document.write( "-9y/-9=27/-9 \n" ); document.write( "y=-3 [Plug (y=-3) back into the equations and solve for x] \n" ); document.write( ". \n" ); document.write( "2x + 3y = 1 \n" ); document.write( "2x + 3(-3) = 1 \n" ); document.write( "2x+(-9)=1 \n" ); document.write( "2x=9+1 \n" ); document.write( "2x=10 \n" ); document.write( "x=10/2 \n" ); document.write( "x=5 \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "Plug the values of x and y back into either of the original equations. \n" ); document.write( "5x + 3y = 16 \n" ); document.write( "5(5) + 3(-3) = 16 \n" ); document.write( "-9=-9 [Checks out] \n" ); document.write( "or \n" ); document.write( "2x + 3y = 1 \n" ); document.write( "2(5) + 3(-3) = 1 \n" ); document.write( "10-9=1 \n" ); document.write( "1=1 [Also checks out]\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |