Question

To reach a vacation spot, the Jones family first traveled by plane and then drove the

Answer 1

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the  distance by plane.

y = x - 125    => x=y+125  Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500   Eqn 2

Putting value of x from Eqn 1;

$(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625$

Putting y=625 in Eqn 1

$x=625+125\\x=750$

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

• brainly.com/question/10435816
• brainly.com/question/10435836

#LearnwithBrainly