LEARN IT Choosing a Solution Method We've now discussed three different methods for solving systems of equations. Each method has advantages and disadvantages, and each method may be simpler to use for a given system of equations. Review this chart and then practice selecting what method to use to solve a system of equations. Method Graphing Advantages Solution is easy to see Recognizable when first learning Disadvantages . Cannot find an exact answer for non-integer solutions Can take more time Substitution Most straightforward Can be more difficult with fractions Elimination Don't have to combine Finding the correct like terms multipliers can be tricky Works naturally with standard form equations When to Use When graph is already drawn for at least one When the equations are in slope-intercept form When one variable is already isolated When one variable has a coefficient of one. When the equation starts in standard form When the coefficients of one variable are the same or opposite . When the numbers are fractions or inconvenient for substitution For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem. 1. y=2x+1 y=6-3x 2. x + 3y = 7 2x+3y=11