For an equation ax + by+c=0 to be a linear equation,which one of the following conditions should be satisfied?
a) a and c shouldn't be zero at the same time
b) a and b shouldn't be zero at the same time
c) band c shouldn't be zero at the same time
d) c should be non zero
Correct answer is option 'B. Can you explain this answer?
Explain please
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Answer:
a and b shouldn't be 0 at the same time because they are linked to x and y respectively by multiplication. This means that when you multiply a with x and b with y, both will be 0. Hence, when they are taken to the other side, the equation is
c=0, which is not a linear equation.
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