Problem

Is the point (2,4) a solution to the equation \(y = \frac{{3x - 2}}{{x + 1}}\)?

Answer

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Answer

Compare this y-value to the y-coordinate of the point: \(\frac{{4}}{{3}}\) is not equal to 4

Steps

Step 1 ：Substitute the x-coordinate from the point into the equation: \(y = \frac{{3(2) - 2}}{{2 + 1}}\)

Step 2 ：Simplify the equation: \(y = \frac{{6 - 2}}{{3}}\)

Step 3 ：Further simplify the equation: \(y = \frac{{4}}{{3}}\)

Step 4 ：Compare this y-value to the y-coordinate of the point: \(\frac{{4}}{{3}}\) is not equal to 4

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