Question

A boy enjoys pizza with his friends and shares it by slicing. During slicing, he noticed that a pair of Linear Equations is formed.

The equations are: y-2x=1 & 5y-x =14

Answer 1

Given:-

A boy enjoys pizza with his friends and shares it by slicing. During slicing, he noticed that a pair of Linear Equations is formed.

The equations are: y-2x=1 & 5y-x =14

To Find:-

y-2x=1 & 5y-x =14

Solution:-

a) Here the line is

y - 2x = 1

Since the line cuts x axis

So y = 0

Thus we get

-2x = 1

x = -0.5

Hence the required point is (- 0.5, 0)

b) Here the line is

y - 2x = 1

Since the line cuts y axis

So x = 0

Thus we get

y = 1

Hence the required point is (-0, 1)

(c) Here the line is

5y - x = 14

Since the line cuts x axis

So y = 0

Thus we get

-X= 14

x = -14

Hence the required point is (-14, 0)

d) Here the line is

5y - x = 14

Since the line cuts y axis

So x = 0

Thus we get

5y = 14

y = 2.8

Hence the required point is (0,2.8)

(e) Here the equation of the line parallel to x axis is y = 0

Since it is at a distance of 5 unit

So c = 5

Hence the required equation of the line is

y = 5

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