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Find the gradient of 3(x-2y)=2

User Rectalogic
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The equation given is a linear equation, so its gradient is the same as the slope of the line.

If the line is in the slope-intercept form:


y=sx+b

"s" is the slope and, thus, the gradient.

So, we can solve the equation for "y" and check the coefficient multiplying "x":


\begin{gathered} 3(x-2y)=2 \\ 3x-6y=2 \\ 3x-2=6y \\ 6y=3x-2 \\ y=(3)/(6)x-(2)/(6) \\ y=(1)/(2)x-(1)/(3) \end{gathered}

The coefficient multiplying x is 1/2, so the gradient is 1/2.

User Chaye
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