Convert the following equation into simultaneous equation and solve

Mathematics

1 answer:

almond37 [142]3 years ago

6 0

Answer:

x=4/5

y=1/5

Step-by-step explanation:

X/y=4...(1)

1/x+1/y=1/xy...(2)

From (1) make x the subject of formula

x=4y...(3)

Substitute (3) into (2)

I/4y+1/y=1/4y^2

Let the LCM be 4y

1+4/4y=1/4y^2

Cross multiply

5(4y^2)=4y

20y^2=4y

Divide both sides by 4y

5y=1

Divide both sides by 5

y=1/5

Substitute y=1/5 into(3)

x=4(1/5)

x=4/5

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Step-by-step explanation:

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The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.