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The linear equation $5 x − 3 y = 2$ has a solution

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(2, 1)

(1, 1)

(1, -1)

(1, 2)

answer is B.

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Detailed Solution

The given linear equation is

5 x − 3 y = 2

.
Consider (1, 1).
Substitute

x = 1 and y = 1

in the L.H.S of the given equation, we get,

51 − 31 = 5 − 3 ⇒ 2 ⇒ R .H .S .

Consider (2, 1).
Substitute

x = 2 and y = 1

in the L.H.S. of the given equation, we get,

52 − 31 = 10 − 3 ⇒ 7 ≠ R .H .S .

Consider (1, -1).
Substitute

x = 1 and y = − 1

in the L.H.S. of the given equation, we get,

51 − 3 − 1 = 5 + 3 ⇒ 8 ≠ R .H .S .

Consider (1, 2).
Substitute

x = 1 and y = 2

in the L.H.S. of the given equation, we get,

51 − 32 = 5 − 6 ⇒ − 1 ≠ R .H .S .

Therefore, the linear equation

5 x − 3 y = 2

has a solution (1, 1).
Hence, option (2) is correct.

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