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What are two symbolic techniques used to solve linear equations and which do you feel is better?
Elimination and substitution are two methods.
How do you decide whether to use elimination or subsitution to solve a three-variable system?
There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.
Why is it important to know various techniques for solving systems of equations and inequalities?
It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.
Where do you use formulating equations in life?
well, if you know all the formulating equations it will make you better at regular equations and regular equations can be used in everyday life
What does x and y equal and the equation for x for 2x - 4y equals 3.8 and 3x - y equals 17.7?
Try a system of equations and substitution, or elimination here. 2X - 4Y = 3.8 3X - Y = 17.7 I will try elimination -3(2X - 4Y = 3.8) 2(3X - Y = 17.7) -6X + 12Y = -11.4 6X - 2Y = 35.4 ----------------------------add 10Y = 24 Y = 12/5 Put into one of original equations for X 3X -(12/5) = 17.7 3X = 201/10 X = 67/10 --------------- check 2(67/10) - 4(12/5) = 3.8 67/5 - 48/5 = 3.8 19/5 = 3.8 3.8 = 3.8 checks for that one, you check the other. Hint change to fractions, or decimals for better handling. My TI-84 can do this easily, but I do not know your calculator or capabilities
