Given that 9t-5=103, find the value of t

1 answer:

3 0

You need to keep letters on one side and numbers on the other side. And when you move 5 over you have to change the sign.

9t = 103 + 5
9t = 108
t = 108 ÷ 9
t = 12

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Flying to England with a tailwind a plane averaged 158km/h one the return trip the plane only averaged 112 km/h while flying bac

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Step-by-step explanation:

Let x represent the speed of the plane in still air.

Let y represent the speed of the wind.

Flying to England with a tailwind a plane averaged 158km/h. This means that the total speed of the plane is (x + y) km/h. Therefore,

x + y = 158 - - - - - - - - - - - - - -1

On the return trip, the plane only averaged 112 km/h while flying back in the same wind. This means that the total speed of the plane is (x - y) km/h. Therefore,

x - y = 112 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

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Step-by-step explanation:

$\left\{\begin{array}{ccc}10x+2y=64&\text{multiply both sides by 2}\\3x-4y=-36\end{array}\right\\\underline{+\left\{\begin{array}{ccc}20x+4y=128\\3x-4y=-36\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad23x=92\qquad\text{divide both sides by 2}\\.\qquad x=4\\\\\text{put the value of x to the first equation:}\\\\10(4)+2y=64\\40+2y=64\qquad\text{subtract 40 from both sides}\\2y=24\qquad\text{divide both sides by 2}\\y=12$