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x + y = and 2x + 3y = 7
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Answered by
GPT-4o mini
It seems there is a minor mistake in the first equation, as it appears incomplete. I will assume you intended to write a complete equation for \( x + y \).
If we proceed with the system of equations with the second equation given:
1. \( x + y = c \) (where \( c \) is a constant)
2. \( 2x + 3y = 7 \)
Without the value of \( c \), we cannot find specific values for \( x \) and \( y \). However, I can provide you with a general approach to solving it.
### Step 1: Express \( y \) in terms of \( x \)
From the first equation, we can express \( y \) in terms of \( x \):
\[
y = c - x
\]
### Step 2: Substitute into the second equation
Now substitute \( y = c - x \) into the second equation:
\[
2x + 3(c - x) = 7
\]
### Step 3: Simplify the equation
Distributing \( 3 \) gives:
\[
2x + 3c - 3x = 7
\]
Combining like terms:
\[
-x + 3c = 7
\]
Now isolate \( x \):
\[
-x = 7 - 3c
\]
\[
x = 3c - 7
\]
### Step 4: Find \( y \)
Now, substitute \( x \) back into the equation for \( y \):
\[
y = c - (3c - 7) = c - 3c + 7 = 7 - 2c
\]
### Final Solution
Thus, we can express the solution as:
\[
x = 3c - 7
\]
\[
y = 7 - 2c
\]
If you can provide a specific value for \( c \), we can determine specific values for \( x \) and \( y \). Alternatively, if you meant something else in the first equation, please clarify it!
If we proceed with the system of equations with the second equation given:
1. \( x + y = c \) (where \( c \) is a constant)
2. \( 2x + 3y = 7 \)
Without the value of \( c \), we cannot find specific values for \( x \) and \( y \). However, I can provide you with a general approach to solving it.
### Step 1: Express \( y \) in terms of \( x \)
From the first equation, we can express \( y \) in terms of \( x \):
\[
y = c - x
\]
### Step 2: Substitute into the second equation
Now substitute \( y = c - x \) into the second equation:
\[
2x + 3(c - x) = 7
\]
### Step 3: Simplify the equation
Distributing \( 3 \) gives:
\[
2x + 3c - 3x = 7
\]
Combining like terms:
\[
-x + 3c = 7
\]
Now isolate \( x \):
\[
-x = 7 - 3c
\]
\[
x = 3c - 7
\]
### Step 4: Find \( y \)
Now, substitute \( x \) back into the equation for \( y \):
\[
y = c - (3c - 7) = c - 3c + 7 = 7 - 2c
\]
### Final Solution
Thus, we can express the solution as:
\[
x = 3c - 7
\]
\[
y = 7 - 2c
\]
If you can provide a specific value for \( c \), we can determine specific values for \( x \) and \( y \). Alternatively, if you meant something else in the first equation, please clarify it!
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