Algebra

 

One ordered pair (a, b) satisfies the two equations ab^4 = 48 and ab = 24. What is the value of b in this ordered pair?    

 

                                                 ab⁴  =  48          (eq 1)    

                                                 ab    =  24          (eq 2)    

 

solve eq 2 for "a"                           a  =  24 / b    

 

sub "a" in eq 1                (24 / b) • b⁴  =  48      

 

divide both sides by 24             b⁴ / b  =  2    

 

                                                      b³  =  2    

 

                                                        b  =  cube root of 2    

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