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Using variables a and b write any two equations whose solution is (0, 2). - Algebra

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Question

Using variables a and b write any two equations whose solution is (0, 2).

Sum

Solution

a + b = 2 and 2a + b = 2 are the equations whose solution is (0, 2).

Reason:

a + b = 2    ...(i)

2a + b = 2   ...(ii)

Subtracting equation (i) from (ii), we get

2a + b = 2
  a + b = 2
−     −    −     
a = 0

Substituting a = 0 in equation (i), we get

0 + b = 2

∴ b = 2

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Chapter 1: Linear Equations in Two Variables - Q.2 (B)

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