document.write( "Question 257029: eight times a number plus five times another number is -13.the sum of the two numbers is 1.what are the numbers.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "please help me solve this its about elimination using multiplication.i think \n" ); document.write( "
Algebra.Com's Answer #189422 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let x = \"a number
\n" ); document.write( "Let y = \"another number\"
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"eight times a number plus five times another number is -13.\"
\n" ); document.write( "8x + 5y = -13
\n" ); document.write( ":
\n" ); document.write( "\"the sum of the two numbers is 1.\"
\n" ); document.write( "x + y = 1
\n" ); document.write( ":
\n" ); document.write( "what are the numbers.
\n" ); document.write( "We can us elimination here if you want.
\n" ); document.write( ":
\n" ); document.write( "Multiply the above equation by 5 and subtract from the 1st equation
\n" ); document.write( "8x + 5y = -13
\n" ); document.write( "5x + 5y = 5
\n" ); document.write( "----------------Subtraction eliminates y find x
\n" ); document.write( "3x = -18
\n" ); document.write( "x = \"%28-18%29%2F3\"
\n" ); document.write( "x = -6
\n" ); document.write( ":
\n" ); document.write( "Find x using x + y = 1
\n" ); document.write( "-6 + y = 1
\n" ); document.write( "y = 1 + 6
\n" ); document.write( "y = 7
\n" ); document.write( ":
\n" ); document.write( "Solution x = -6, y = 7
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 1st statement
\n" ); document.write( "eight times a number plus five times another number is -13
\n" ); document.write( "8(-6) + 5(7) =
\n" ); document.write( "-48 + 35 = -13; confirms our solutions \n" ); document.write( "
\n" );