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Sagot :
Solving an equation
We want to find the value of w, so the following equation is true:
[tex]\frac{4}{6}=\frac{w}{9}[/tex]Since both sides of the equation are equal, we must do the same on both sides, so they keep equal.
We want to leave w in only one side of the equation.
Then we want to bring 9 of the division to the left side so w can be alone in the right sides.
In order to do so we multiply both sides by 9:
[tex]\begin{gathered} 9\cdot\frac{4}{6}=9\cdot\frac{w}{9} \\ \downarrow\text{right side} \\ 9\cdot\frac{w}{9}=\frac{9w}{9}=w \\ \downarrow left\text{ side} \\ 9\cdot\frac{4}{6}=\frac{36}{6}=6 \end{gathered}[/tex]Then, we have that:
[tex]\begin{gathered} 9\cdot\frac{4}{6}=9\cdot\frac{w}{9} \\ \downarrow \\ 9\cdot\frac{4}{6}=w \\ \downarrow \\ 6=w \end{gathered}[/tex]Answer: w = 6
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