Question

Given the quite a lot of equation y = 5x over 2 + 8x + 9 solve for the y coordinate with the probable of when x = -3

Answer 1

To solve for the y-coordinate when \( x = -3 \) in the equation \( y = \frac{5x}{2} + 8x + 9 \), we can substitute \( x = -3 \) into the equation.

First, let's rewrite the equation clearly:

\[
y = \frac{5x}{2} + 8x + 9
\]

Now substitute \( x = -3 \):

\[
y = \frac{5(-3)}{2} + 8(-3) + 9
\]

Now calculate each term:

1. Calculate \( \frac{5(-3)}{2} \):
\[
\frac{-15}{2} = -7.5
\]

2. Calculate \( 8(-3) \):
\[
8 \times -3 = -24
\]

Now, substitute these values back into the equation:

\[
y = -7.5 - 24 + 9
\]

Combine the values:

\[
y = -7.5 - 24 + 9 = -7.5 - 24 + 9 = -7.5 - 15 = -22.5
\]

So, the value of \( y \) when \( x = -3 \) is

\[
\boxed{-22.5}
\]