Q.

How many linear equations in x and y? can be satisfied by x = 1 and y =2 ?

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a

Infinitely many

b

only one

c

three

d

two

answer is D.

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Detailed Solution

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The collection of all feasible values for the variables that satisfy the specified linear equation is known as the solution set of a system of linear equations.

Plot the point x = 1 and y = 2

Draw lines through the point.

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From the graph, it’s clear that infinite straight lines can pass through the point (1, 2)

So, infinite linear equations are possible satisfying x = 1 and y = 2.

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How many linear equations in x and y? can be satisfied by x = 1 and y =2 ?