The standard form of the equation 3x = 2y - 1 | vedclass

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(C) The standard form of a linear equation in two variables is given by $ax + by + c = 0$,where $a$,$b$,and $c$ are real numbers and $a$ and $b$ are n

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$3x - 2y + 1 = 0$

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(C) The standard form of a linear equation in two variables is given by $ax + by + c = 0$,where $a$,$b$,and $c$ are real numbers and $a$ and $b$ are not both zero.Given the equation: $3x = 2y - 1$.To bring this into the standard form $ax + by + c = 0$,we move all terms to the left-hand side of the equation.Subtract $2y$ from both sides: $3x - 2y = -1$.Add $1$ to both sides: $3x - 2y + 1 = 0$.Comparing this with $ax + by + c = 0$,we have $a = 3$,$b = -2$,and $c = 1$.Thus,the standard form is $3x - 2y + 1 = 0$.

The standard form of the equation $3x = 2y - 1$ is..........

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