Question 81728: Rewrite the equation –2x – 5y = –40 as a function of x.
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! Given:
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- 2x - 5y = -40
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Rewrite as a function of x
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The way to do this problem is simply to solve for y in terms of x and then replace the y
with "f(x)".
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Let's solve for y
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Begin by adding 2x to both sides of the equation to eliminate the -2x on the left side. When
you add 2x to both sides the result is:
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- 5y = 2x - 40
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Next, solve for y by dividing both sides of this equation by -5, the multiplier of y. When
you divide both sides by -5 you get:
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y = (2/-5)x -40/-5
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and this simplifies to:
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y = (-2/5)y + 8
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Finally, replace the y with "f(x)" and the equation becomes:
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f(x) = (-2/5)x + 8
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That's the answer to the problem. Hope this helps you to understand how to get the f(x) form
of an equation.
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