One way to solve this system is to substitute the value of one variable into the other equation. To do this, we can use either variable, p or c. So, we need to know either: p = some value, so that we can substitute that value for p, or, c = some value, so that we can substitute that value for c. Is either equation written as p equals some value or c equals some value yet?

Question

One way to solve this system is to substitute the value of one variable into the other equation. To do this, we can use either variable, p or c. So, we need to know either: p = some value, so that we can substitute that value for p, or, c = some value, so that we can substitute that value for c. Is either equation written as p equals some value or c equals some value yet?
3c+2.5p = 31
c+p = 11

Yes

No

GPT-4o mini · Answer

No, neither equation is currently written in the form of \( p = \) some value or \( c = \) some value. You need to rearrange one of the equations to isolate one of the variables before you can substitute it into the other equation.

For example, you could rearrange the second equation \( c + p = 11 \) to solve for \( c \): \[ c = 11 - p \]

Now you can substitute this expression for \( c \) in the first equation \( 3c + 2.5p = 31 \). Alternatively, you could solve for \( p \) instead if that is more convenient.