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gogolik [260]
3 years ago
8

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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The air temperature is -6 degrees celsius every hour for several hours. The air temperature after x hours is represented by the
andreyandreev [35.5K]

Answer:

x-intercept is (2,0)  [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]

y-intercept is (0, -6)  [The y-intercept represents the temperature at sunrise, -6°C]

Step-by-step explanation:

<u>Complete Question:</u>

<em>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.</em>

<em />

  • The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
  • The y-intercept is the y-axis cutting point found by setting x = 0

Lets find x-intercept first:

f(x) = 3x - 6

0 = 3x - 6

3x = 6

x = 6/3

x = 2

x-intercept is (2,0)

Now, lets find y-intercept:

f(x) = 3x - 6

f(x) = 3(0) - 6

f(x) = -6

y-intercept is (0, -6)

The x-intercept means that it takes 2 hours for the temperature to reach 0°C

The y-intercept represents the temperature at sunrise, -6°C

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Answer:

Step-by-step explanation:

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Solve the following:<br> a) 4x-1 / 2= x+7<br> b)<br> 3x + 2 = 2x + 13 /3
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Answer:

a) 2.5

b)2.33

Step-by-step explanation:

a)

4x-\frac{1}{2}= x+7

Bring the numerals to the right hand side and the x terms to the left hand side

4x-x=7+\frac{1}{2}

Simplify

3x=\frac{15}{2}

Divide 3 on both sides, to get x

x=\frac{5}{2} =2.5

b)

3x+2=2x+\frac{13}{3}

Bring the numerals to the right hand side and the x terms to the left hand side

3x-2x=\frac{13}{3}-2

Simplify

x=\frac{7}{3} =2.33

5 0
3 years ago
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