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The cost of a notebook is twice the cost of a pen. Write a linear equation in two
variables to represent this statement.
(Take the cost of a notebook to be Rs. x and that of a pen to be Rs. y).
Assume the cost of a notebook and a pen be x and y respectively.
Cost of notebook = 2 × Cost of pen
x = 2y
x − 2y = 0
Express the following linear equations in the form ax + by + c = 0 and indicate the
values of a, b and c in each case: (i) (ii)
(iii)
(iv)
(v)
(vi)
(vi)
(vii)
(viii)
(i) 
= 0
Comparing this equation with ax + by + c = 0,
a = 2, b = 3, 
(ii) 
Comparing this equation with ax + by + c = 0,
a = 1, b =
, c = −10
(iii) − 2x + 3 y = 6
− 2x + 3 y − 6 = 0
Comparing this equation with ax + by + c = 0,
a = −2, b = 3, c = −6
(iv) x = 3y
1x − 3y + 0 = 0
Comparing this equation with ax + by + c = 0,
a = 1, b = −3, c = 0
(v) 2x = −5y
2x + 5y + 0 = 0
Comparing this equation with ax + by + c = 0,
a = 2, b = 5, c = 0
(vi) 3x + 2 = 0
3x + 0.y + 2 = 0
Comparing this equation with ax + by + c = 0,
a = 3, b = 0, c = 2
(vii) y − 2 = 0
0.x + 1.y − 2 = 0
Comparing this equation with ax + by + c = 0,
a = 0, b = 1, c = −2
(viii) 5 = 2x
− 2x + 0.y + 5 = 0
Comparing this equation with ax + by + c = 0,
a = −2, b = 0, c = 5
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