How do you find the inverse of y = (-1/2)x + 7y=(−12)x+7?

1 Answer
Rachel · MathFact-orials.blogspot.com
Mar 28, 2017

y^-1=2x-14y−1=2x−14

Explanation:

To find the inverse of an equation, we switch xx and yy:
x=(-1/2)y+7x=(−12)y+7

And solve for yy:
xcolor(white)(0000)=(-1/2)y+7x0000=(−12)y+7
ul(color(white)(00)-7color(white)(=(-1/2))-7
x-7=(-1/2)y
ul(xx2color(white)(=()yyyy)xx2
2(x-7)=y

y=2x-14

To write that this equation is the inverse of the original one, we write the expression as y^-1=2x-14

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