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DanielleElmas [232]
2 years ago
9

Find the inverse function y=-5x+20

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
7 0

Answer:

y= \frac{-1}{5} x +4

Step-by-step explanation:

We can find the inverse function of this excercise, isolating X and then changing the variables.

y=-5x+20\\y-20=-5x\\\frac{y-20}{-5} =x\\

\frac{y}{-5}-\frac{20}{-5}  = x\\\frac{-1}{5}y+\frac{20}{5} =x\\ \frac{-1}{5}y+4 =x

And now we change the variables and we get the inverse function:

y= \frac{-1}{5} x +4

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8х + 5у = -7<br> — 7х + бу = — 4
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Answer: x = -0.2651 and y = -0.9759

Step-by-step explanation:

Solution by substitution method

8x+5y= -7

-7x+6y= -4 = 7x-6y=4

Suppose,

8x+5y=-7→(1)

7x-6y=4→(2)

Taking equation (1), we have

8x+5y= -7

⇒8x= -5y -7

⇒x= -5y-7 / 8 →(3)

Putting x= -5y-7 / 8

in equation (2), we get 7x-6y=4

7(-5y-7/8)-6y=4

⇒-35y-49-48y=32

⇒-83y-49=32

⇒-83y=32+49

⇒-83y=81

⇒y= 81 / -83

⇒y= -0.9759→(4)

Now, Putting y= -0.9759 in equation (3), we get

x= -5y-7

x= -5(-0.9759)-7/8

⇒x= 4.8795-7/8

⇒x= -2.1205/8

⇒x= -0.2651

∴x= -0.2651 and y = -0.9759

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Step-by-step explanation:

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Step-by-step explanation:

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