document.write( "Question 1002946: I'm a school bus driver and want to know how to solve this problem handed to me from one of the students. -4x + 5y = 37. I honestly can't remember how to do this. It's been 35 years since math class for me. Sincerely, Sandra. \n" ); document.write( "
Algebra.Com's Answer #619791 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! I'm a school bus driver and want to know how to solve this problem handed to me from one of the students. -4x + 5y = 37. \n" ); document.write( "---------- \n" ); document.write( "It's 1 equation in 2 variables, x & y. \n" ); document.write( "You can pick any value for x and find y, or vice versa. \n" ); document.write( "---- \n" ); document.write( "There are an infinite # of solutions, no unique solution. \n" ); document.write( "------ \n" ); document.write( "eg, \n" ); document.write( "x = 0 --> y = 37/5 \n" ); document.write( "x = 1 --> y = 41/5 \n" ); document.write( "etc \n" ); document.write( "-------------- \n" ); document.write( "If you graph it, you get a straight line of infinite length, and every point on the line is a \"solution\" of the equation. \n" ); document.write( "------ \n" ); document.write( "-4x + 5y = 37 \n" ); document.write( "You can solve for x in terms of y: \n" ); document.write( "-4x = -5y + 37 \n" ); document.write( "x = (5/4)y - 37/4 \n" ); document.write( "===================== \n" ); document.write( "or y in terms of x \n" ); document.write( "5y = 4x + 37 \n" ); document.write( "y = (4/5)x + 37/5 \n" ); document.write( " |