SOLUTION: 2x + 9y = 19 what is the solution when I subtracted 9 from both sides I got 10 as an answer and then I divided by 2 and got 5. and my solution set is ( 0,5) am I right

Question 238289: 2x + 9y = 19 what is the solution when I subtracted 9 from both sides I got 10 as an answer and then I divided by 2 and got 5. and my solution set is ( 0,5) am I right
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

No. The solution set is the set of all ordered pairs

such that

. That is all you can say about the solution set of one linear equation in two variables.

In fact, despite the fact that the solution set does have an infinite number of elements, the ordered pair that you gave is NOT one of them.

I think where you erred is when you subtracted 9 from the LHS, you said

. And that is only true in the case where

, an assertion that you cannot support with any evidence given so far.

John

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