Answer:
{x,y} = {5,6}
Step-by-step explanation:
// Solve equation [1] for the variable x
[1] x = y - 1
// Plug this in for variable x in equation [2]
[2] 2•(y -1) - y = 4
[2] y = 6
// Solve equation [2] for the variable y
[2] y = 6
// By now we know this much :
x = y-1
y = 6
// Use the y value to solve for x
x = (6)-1 = 5
Answer:
They live 285 miles apart
Step-by-step explanation:
Let the total distance be x miles
Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means
Total distance driven in the first and second hour is
(x/5 + 34)miles
He still has 194 miles more to go.
Therefore,
The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.
x = x/5 + 34 + 194
x = x/5 + 228
Cross multiplying
5x = x + 1140
4x = 1140
x = 1140/4 = 285 miles