How do you find the inverse of $2 x - 3 y = - 15$ $2x-3y= -15$ ?

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How do you find the inverse of $2 x - 3 y = - 15$ $2x-3y= -15$ ?

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Answer 1 · 2016-04-27T21:00:48

$\Rightarrow y = \frac{3}{2} x - \frac{15}{2}$ $color(blue)(=>y=3/2x-15/2)$

Explanation:

Given: $2 x - 3 y = - 15$ $" "2x-3y=-15$

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Note that the given equation $\to y = \frac{2}{3} x + 5$ $-> y=2/3x+5$ ...............(1)
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Add $3 y$ $3y$ to both sides

$2 x + 3 y - 3 y = - 15 + 3 y$ $2x+3y-3y=-15+3y$

But $3 y - 3 y = 0$ $3y-3y=0$

$2 x = 3 y - 15$ $2x=3y-15$

Divide both sides by 2

$\frac{2}{2} \times x = \frac{3}{2} y - \frac{15}{2}$ $2/2xx x=3/2y-15/2$

But $\frac{2}{2} = 1$ $2/2=1$

$x = \frac{3}{2} y - \frac{15}{2}$ $x=3/2y-15/2$ .....................(2)
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Where there is a $x$ $x$ in equation (2) write $y$ $y$
Where there is a $y$ $y$ in equation (2) write $x$ $x$

$\Rightarrow y = \frac{3}{2} x - \frac{15}{2}$ $color(blue)(=>y=3/2x-15/2)$ .............................(3)
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$A inverse function is a reflection about y = x$ $color(red)("A inverse function is a reflection about "y=x)$

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How do you find the inverse of $2 x - 3 y = - 15$ $2x-3y= -15$ ?

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