Problem

Determine if the equation \(3x - 5y = 7\) is linear.

Answer

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Answer

Since A, B, and C are constants, the equation \(3x - 5y = 7\) is linear.

Steps

Step 1 :A linear equation in two variables x and y has the standard form \(Ax + By = C\), where A, B, and C are constants.

Step 2 :Comparing \(3x - 5y = 7\) with the standard form, we can see that A = 3, B = -5, and C = 7.

Step 3 :Since A, B, and C are constants, the equation \(3x - 5y = 7\) is linear.

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