Question

How many linear equations are satisfied by 0,0

Answer 1

Answer:

Infinitely many

Step-by-step explanation:

There are several equations with the solution (0,0)

For example,

6x+7y=0

10x+73y=0

Answer 2

SOLUTION

TO DETERMINE

The number of linear equations which is satisfied by ( 0,0)

EVALUATION

We know that linear equation is an algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one

If we plot the solutions of a linear equation in Cartesian Coordinate system the results in a straight line.

We know that there are infinite number of lines passing through one point

Hence there are infinite number of linear equations which is satisfied by ( 0,0)

For example

3x - 5y = 0 , 5x + 3y = 0 , x + y = 0 are examples of linear equations which is satisfied by ( 0,0)

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