To solve the system of equations using substitution, we start with the two equations given:
- \( 14x + 7y = 24 \)
- \( -2x = y + 4 \)
First, we will solve the second equation for \( y \):
\[ -2x = y + 4 \]
To isolate \( y \), subtract 4 from both sides:
\[ y = -2x - 4 \]
Now that we have \( y \) in terms of \( x \), we can substitute this expression for \( y \) into the first equation:
\[ 14x + 7(-2x - 4) = 24 \]
Now, simplify the equation:
\[ 14x - 14x - 28 = 24 \]
The \( 14x \) and \( -14x \) cancel out:
\[ -28 = 24 \]
This is a contradiction, which indicates that there are no solutions to this system of equations (the lines represented by the equations are parallel).
Thus, the solution in an ordered pair format is:
\[ \text{No solution} \]
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