document.write( "Question 220489: the sum of two numbers is -11. twice the first nuber minus the second is 32. find the numbers. \n" ); document.write( "
Algebra.Com's Answer #165672 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let x & y be the two numbers \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"the sum of two numbers is -11.\" \n" ); document.write( "x + y = -11 \n" ); document.write( "; \n" ); document.write( "\"twice the first number minus the second is 32.\" \n" ); document.write( "2x - y = 32 \n" ); document.write( "-y = -2x + 32 \n" ); document.write( "Multiply equation by -1 \n" ); document.write( "y = 2x - 32 \n" ); document.write( ": \n" ); document.write( "Substitute (2x-32) for y in the 1st equation \n" ); document.write( "x + 2x - 32 = -11 \n" ); document.write( "3x = -11 + 32 \n" ); document.write( "3x = 21 \n" ); document.write( "x = \n" ); document.write( "x = 7 \n" ); document.write( ": \n" ); document.write( "Find y using the 2nd equation \n" ); document.write( "2x - y = 32 \n" ); document.write( "2(7) - y = 32 \n" ); document.write( "14 - y = 32 \n" ); document.write( "-y = 32 - 14 \n" ); document.write( "-y = 18 \n" ); document.write( "y = -18 \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in 1st equation \n" ); document.write( "7 - 18 = -11 \n" ); document.write( ": \n" ); document.write( "find the numbers. 7 & -18 \n" ); document.write( " |