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3 years ago

What are the steps for this equation?: 6x-5=3x+4

2 answers:

4 0

First subtract your x's so

6x
-3x
3x-5=4

then add 5 to the other side

3x-5=4
+5 +5

3x=9

divided 3 into 9 which gets you x=3

Allisa [31]3 years ago

3 0

6x-5=3x+4
+5 +5
6x=3x+9
-3x -3x
3x=9
(divide both sides by 3)
x=3

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Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

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When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

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