Answer: 
Move all terms containing y to the left, all other terms to the right
<u>Add -14y to each side of the equation</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 5y + -14y = -9y
</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 14y + -14y = 0
</u>
<u></u>
<u></u>
<u></u>
<u>Add '20' to each side of the equation</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: -20 + 20 = 0
</u>
<u></u>
<u></u>
<u></u>
<u>Combine like terms: 7 + 20 = 27
</u>
<u></u>
<u></u>
<u></u>
<u>Divide each side by -9</u>
<u></u>
<u></u>
Answer:
5 km.
Step-by-step explanation:
We have to calculate the distance if we apply the speed formula that would be the distance in a given time:
v = d / t
therefore, if we solve for distance it would be:
d = v * t
Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:
50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:
d = 6 * 0.8333
d = 5
In other words, the distance between the school and the house is 5 km.