Answer:
NATHAN RODE 2 MILES
Step-by-step explanation:
Let N = Nathan's number of miles
Let M = 5N - 4 (Miguel rode his bicycle 4 miles less than 5 times the number of miles Nathan rode.
M = 6 (Miguel rode his bicycle 6 miles.)
6 = 5N - 4 (Substitute 6 for M in the equation above(M = 5N - 4).
6 + 4 = 5N - 4 + 4 (Add 4 to both sides of equation.)
10 = 5N
10/5 = 5N/5 (Divide both sides by 5 to isolate the variable N.)
2 = N
ANSWER: NATHAN RODE 2 MILES
CHECKING:
DOES MIGUEL'S 6 MILES EQUAL 5N - 4?
5N - 4 = (5)(2) - 4 = 10 - 4 = 6 MILES .
YES IT DOES.
