document.write( "Question 1022428: the larger of two numbers is 4 less than fives times the smaller. when the smallest number is subtracted from the larger, the difference is 4. find the two numbers \n" ); document.write( "
Algebra.Com's Answer #638105 by addingup(3677)![]() ![]() You can put this solution on YOUR website! x-4 = 5y (1) \n" ); document.write( "x-y = 4 (2) \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "In equation (1) subtract 5y and add 4 on both sides: \n" ); document.write( "x-5y = 4 Now we have a new equation, let's call it (3) \n" ); document.write( "In equation (2) multiply all times -5: \n" ); document.write( "-5x+5y = -20 Add this equation to (3) \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "x-5y = 4 \n" ); document.write( "+ \n" ); document.write( "-5x+5y = -20 \n" ); document.write( "------------- \n" ); document.write( "-4x = -16 divide both sides by -4 and remember -/- = + \n" ); document.write( "x = 4 Now let's find y: \n" ); document.write( "x-y = 4 \n" ); document.write( "4-y = 4 \n" ); document.write( "4 = 4+y \n" ); document.write( "0 = y \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "The problem has two equations: \n" ); document.write( "x-4 = 5y (1) \n" ); document.write( "x-y = 4 (2) \n" ); document.write( "Let's try our numbers: \n" ); document.write( "4-4 = 5(0); 0 = 0 this one is correct. Next: \n" ); document.write( "4-0 = 4 This is also correct. We have the correct answers \n" ); document.write( " \n" ); document.write( " |