You rewrote the second equation as s=20−p. You can now substitute s=20−p for s in the first equation to rewrite the first equation with one variable, p. Do that now.

Question

0.75s+0.5p = 13
s = 20−p
0.75s+0.5p
=
13
0.75(

)+0.5p
=
13

Answer 1

To substitute \( s = 20 - p \) into the first equation \( 0.75s + 0.5p = 13 \), we replace \( s \) with \( 20 - p \):

Starting with the equation:

\[ 0.75s + 0.5p = 13 \]

Substituting \( s \) with \( 20 - p \):

\[ 0.75(20 - p) + 0.5p = 13 \]

Now, we can simplify this equation:

1. Distribute \( 0.75 \): \[ 15 - 0.75p + 0.5p = 13 \]

2. Combine like terms: \[ 15 - 0.25p = 13 \]

So the equation \( 0.75(20 - p) + 0.5p = 13 \) simplifies to:

\[ 15 - 0.25p = 13 \]