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Algebra
Pregunta

71. Think About It            Consider the system ...

71. Think About It            Consider the system of equations 

\(\left\{ \begin{array} { l } { a x + b y = c } \\ { d x + e y = f ^ { * } } \end{array} \right.\)

(a) Find values for \( a , b , c , d , e \) , and \( f \) so that the system has one distinct solution. (There is more than one correct answer.) 

(b) Explain how to solve the system in part (a) by the method of substitution and graphically. 

(c) Write a brief paragraph describing any advantages of the method of substitution over the graphical method of solving a system of equations. 

Answer

(a) a = 1, b = 1 , c = 1, d = 1, e = -1, f = 2

(b) The equations will be

x + y = 1

x - y  = 2

 

Substitution method

x = 1 - y

Putting it in x - y = 2 we get

1 - y - y = 2

1 - 2y = 2

2y = -1

y = -1/2

and x = 1 - y = 3/2

 

 

(c)  Sometimes substitution method is faster like in the above case.

   

Solución
View full explanation on CameraMath App.