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?
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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