Question

solve with substitution and within an ordered pair;

14x+7y=24
-2x=y+4

Answer 1

To solve the system of equations using substitution, we start with the two equations given:

1. \( 14x + 7y = 24 \)
2. \( -2x = y + 4 \)

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:

\[
\text{No solution}
\]