Question

The number of solutions of 3x+y = 243 and 243x-y = 3 is​

Answer 1

Step-by-step explanation:

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Answer 2

SOLUTION

TO DETERMINE

The number of solutions of 3x + y = 243 and 243x - y = 3

EVALUATION

Here the given system of equations are

3x + y = 243 - - - - - - - (1)

243x - y = 3 - - - - - - - (2)

Equation 1 + Equation 2 gives

246x = 246

⇒ x = 1

Putting x = 1 in Equation 1 we get

3 + y = 243

⇒ y = 243 - 3

⇒ y = 240

So the solution is x = 1 , y = 240

Hence the number of solutions is unique

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