Is either equation written as “s = some value” yet?

0.8f+0.5s=9
f+s=16

Yes

No

1 answer

To find out if either equation can be expressed in the form "s = some value," we first need to solve the system of equations.

We have the following two equations:

  1. \( 0.8f + 0.5s = 9 \)
  2. \( f + s = 16 \)

From the second equation, we can express \( f \) in terms of \( s \):

\[ f = 16 - s \]

Now, we can substitute this expression for \( f \) into the first equation:

\[ 0.8(16 - s) + 0.5s = 9 \]

Now, distribute \( 0.8 \):

\[ 12.8 - 0.8s + 0.5s = 9 \]

Combine like terms:

\[ 12.8 - 0.3s = 9 \]

Now, isolate \( s \):

\[ -0.3s = 9 - 12.8 \] \[ -0.3s = -3.8 \] \[ s = \frac{-3.8}{-0.3} = \frac{3.8}{0.3} \approx 12.67 \]

So we can express \( s \) as:

\[ s \approx 12.67 \]

Thus, it is possible to write the equation in the form \( s = \) some value, specifically:

\[ s \approx 12.67 \]

Therefore, the answer is Yes.