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Byju's Answer
Standard X
Mathematics
Linear Polynomial and Its Graphical Representation
Solve the fol...
Question
Solve the following pair of equations:
* 2x - y - 6 = 0
* x - y - 2 = 0
A
x = 2, y = - 2
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B
x = 1, y = - 1
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C
x = 4, y = 2
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D
x = 2, y = 1
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Solution
The correct option is
C
x = 4, y = 2
Given:
2x - y - 6 = 0....... (i)
x - y - 2 = 0....... (ii)
(
i
)
−
(
i
i
)
⇒
x
=
4
.
.
.
.
.
.
.
(
i
i
i
)
Substituting (iii) in (ii) gives y = 2.
Thus, x = 4, y = 2.
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Solve the following systems of linear inequations graphically:
(i) 2x + 3y ≤ 6, 3x + 2y ≤ 6, x ≥ 0, y ≥ 0
(ii) 2x + 3y ≤ 6, x + 4y ≤ 4, x ≥ 0, y ≥ 0
(iii) x − y ≤ 1, x + 2y ≤ 8, 2x + y ≥ 2, x ≥ 0, y ≥ 0
(iv) x + y ≥ 1, 7x + 9y ≤ 63, x ≤ 6, y ≤ 5, x ≥ 0, y ≥ 0
(v) 2x + 3y ≤ 35, y ≥ 3, x ≥ 2, x ≥ 0, y ≥ 0