The total distance of the route is 112miles.
Step-by-step explanation:
Let us consider the total distance of the route to be 'y'.
Given that,
The distance from Boston to the passengers station = (1/3) y
The passenger got down at a station after beyond his station which is 14 miles away and the remaining route from that station is (13/24) y
So the travelled route = y - (13/24) y
= (11/24) y
The travelled route is from Boston to a station beyond 14miles of his station.
We can write the above as,
(11/24) y = (1/3) y + 14
(11/24) y - (1/3) y =14
(11y - 8y) /24 = 14
3y/24 = 14
y/8 = 14
y = 14 x 8
y = 112 miles
The total distance of the route is 112 miles
Simplify the expression.
57
Hope this helps! :)
Happy New Year!
y = -2x + 9
y = 4x - 3
y is isolated in both equations, thus you may set the expressions (-2x + 9) and (4x - 3) equal to each other and solve for x.
-2x + 9 = 4x - 3
Subtract 9 from both sides.
-2x + 9 - 9 = 4x - 3 - 9
-2x = 4x - 12
Subtract 4x from both sides.
-2x - 4x = 4x - 12 - 4x
-6x = -12
Divide both sides by -6.
-6x/-6 = -12/-6
x = 2
Substitute 2 for x into one of the original equations to find y.
y = 4x - 3 (given)
y = 4(2) - 3 (substitute)
y = 8 - 3 (multiply)
y = 5 (subtract)
Plug x- and y-values into original equations to check work.
5 = -2(2) + 9
5 = - 4 + 9
5 = 5
5 = 4(2) - 3
5 = 8 - 3
5 = 5
Answer:
x = 2 and y = 5; (2, 5).
Answer:
X=2.6
Step-by-step explanation:
Answer:
2x+x
Step-by-step explanation: