What is the value of a if the point $$ (a,-1) $$ is on the line $$ 3 x-2 y=8 ? $$

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UpStudy AI · Accepted Answer

To find the value of $$ a $$ such that the point $$ (a, -1) $$ lies on the line defined by the equation $$ 3x - 2y = 8 $$, we can substitute $$ x = a $$ and $$ y = -1 $$ into the equation.

1. Substitute $$ x $$ and $$ y $$ into the equation:
   $$
   3a - 2(-1) = 8
   $$

2. Simplify the equation:
   $$
   3a + 2 = 8
   $$

3. Isolate $$ a $$:
   $$
   3a = 8 - 2
   $$
   $$
   3a = 6
   $$
   $$
   a = \frac{6}{3}
   $$
   $$
   a = 2
   $$

Thus, the value of $$ a $$ is $$ 2 $$.
$$ a = 2 $$

What is the value of a if the point \( (a,-1) \) is on the line \( 3 x-2 y=8 ? \)

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