Answered

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Suppose y varies directly with x, and y=6 when x=-2. Find x when y=9

Sagot :

The fact that y varies directly with x means that they have a relation like:

[tex]y=kx[/tex]

Where k can be any number. We know that y=6 when x=-2 which means that k is given by:

[tex]\begin{gathered} y=kx \\ 6=-2k \\ \frac{6}{-2}=k \\ k=-3 \end{gathered}[/tex]

Then if y=9 we get:

[tex]\begin{gathered} y=-3x \\ 9=-3x \\ \frac{9}{-3}=x \\ x=-3 \end{gathered}[/tex]

So x=-3 when y=9.

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