Solving linear equations using linear combinations basically means adding several equations together so that you can cancel out one variable at a time for example, take the f ollowing two equations: x+y=5 and x-y=1 if you add them together you get 2x=6 or x=3 now, put that value of x into the first original equation, 3+y=5 or y=2 therefore your solution is (3, 2) but problems are not always so simple.
Hi, by symbolic techniques, we mean techniques that use the usual algebra to find the solution to the linear equations two symbolic techniques available to solve linear equations are (a) elimination (addition) method (b) substitution method (please click accept to credit me. What are two symbolic techniques used to solve linear equations summer 2010-3 class notes chapter 1 section 11: linear equations learning objectives: 1 solve a linear equation 2 solve equations that lead to linear equations 3 solve applied problems involving linear equations examples: 1 [pic] [pic] 3.
To solve a linear system is to find values for the variables that make all of the equations true there are a number of ways to solve a system of linear equations if there are only two variables, you can graph the set of equations on the same coordinate axes and find the intersection if there is one.
There are more than two techniques used to solve linear equations, but two of the different methods that i chose to solve with are by using graphing, and by using elimination graphing can be used by solving for the intercepts of the equation, by solving with x equal to zero, and with y equal to zero.
Elimination and substitution are two methods if you readily see how to do the elimination, it is quicker substitution, however, is much more general and completely independent of immediate perception so each technique has its own peculiar merit consequently, i doubt that there a single criterion that permits ranking just my opinion. Two symbolic techniques used to solve linear equations are graphically, and algebraically personally i prefer to use graphically the most because it is the fastest method to solve the equation, also it is easy to solve with a calculator.