The distance from Gillette, New Jersey, to Irvington, New Jersey, is 1 mile more than four times the distance from Irvington to Newark. If the total distance from Gillette to Newark is 2 miles less than six times the distance from Irvington to Newark, what is the distance from Irvington to Newark if all three cities are in a straight line?

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martin58853 martin58853 · Answer 1 · 2020-08-30T03:09:47+02:00

Answer:

distance from Irvington to Newark

.= 3 Miles

Step-by-step explanation:

distance from Irvington to Newark.= X

distance from Gillette, New Jersey, to Irvington, New Jersey,= y

Y= 1+4x

total distance from Gillette to Newark

= z

Z= 6x-2

But total distance = x+y

Total distance= x+1+4x

Total distance= 1+5x

1 +5x= 6x-2

1+2= 6x-5x

3= x

distance from Irvington to Newark.= X

distance from Irvington to Newark

.= 3 Miles

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4x

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4(3)

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+12

distance from Gillette, New Jersey, to Irvington, New Jersey,= 13 miles

Total distance= 1+5x

Total distance= 1+5(3)

Total distance= 16 miles