Algebra/Trig Review - Pauls Online Math Notes - Lamar University

Algebra/Trig ReviewComplex numbers are a reality when solving equations, although we won’t often seethem in a Calculus class, if we see them at all.Solving Equations, Part IISolve each of the following equations for y.1.2y− 5x =6 − 7ySolutionHere all we need to do is get all the y’s on one side, factor a y out and then divide bythe coefficient of the y.2y− 5x =6 − 7yx( 6− 7y)= 2y−56x − 7xy = 2y−56x+ 5= ( 7x+2)y6x+ 5y =7x+ 2Solving equations for one of the variables in it is something that you’ll be doing onoccasion in a Calculus class so make sure that you can do it.3x 3− 5y + sin x = 3xy+ 822. ( )SolutionThis one solves the same way as the previous problem.23x 3− 5y + sin x = 3xy+ 8( )x − x y + x = xy +2 29 15 sin 3 8( )9 + sin − 8 = 3 + 152 2x x x x yy =x + x−3x+15x29 sin 823.2 22x+ 2y= 5SolutionSame thing, just be careful with the last step.© 2006 Paul Dawkins 31http://tutorial.math.lamar.edu/terms.aspx