Medium
Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:
$2y - 3x = 14$
$2y - 3x = 14$
(N/A) To express the equation $2y - 3x = 14$ in the form $ax + by + c = 0$,we rearrange the terms:
$1$. Subtract $14$ from both sides: $2y - 3x - 14 = 0$.
$2$. Rearrange the terms to match the standard form $ax + by + c = 0$: $-3x + 2y - 14 = 0$.
$3$. Comparing this with $ax + by + c = 0$,we get:
$a = -3$
$b = 2$
$c = -14$
$1$. Subtract $14$ from both sides: $2y - 3x - 14 = 0$.
$2$. Rearrange the terms to match the standard form $ax + by + c = 0$: $-3x + 2y - 14 = 0$.
$3$. Comparing this with $ax + by + c = 0$,we get:
$a = -3$
$b = 2$
$c = -14$
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