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Question

If 3x + 7y =14 express y in terms of x check whether m(3,-2) is a point on the given line

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Solution

3x + 7y =14

7y = 14 - 3x
y = (14 - 3x)/7
y = 2 - 3x/7

To check whether m(3,-2) is a point on the given line, just substitute the values in the equation 3x + 7y =14. If it is a point in the line you will get the answer 14

3x + 7y = 3(3) + 7(-2)
= 9 - 14
= -5 which is not equal to 14

So it is not a point in the line.

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