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Question

The runs scored by two batsmen in a cricket match are 164. Write a linear equation in two variables x and y. Also write a solution of this equation.

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Solution

Let one batsman score x runs.
Then, the other batsman scores y runs.
Given, total runs = 164
Then, according the given condition, we have:
x + y = 164

Solution:
Putting x = 0 in the equation, we get:
y = 164
Again, putting y = 0 in the equation, we get:
x = 164
Hence, (0, 164), (164, 0) are the two solutions of the equation.

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