Questions: Use the substitution method to solve the system of equations. Choose the correct ordered pair. x+y=5 y=7 A. (-2,7) B. (2,7) C. (-12,7) D. (12,7)

Solution Steps

To solve the system of equations using the substitution method, we start by substituting the value of \( y \) from the second equation into the first equation. This will allow us to solve for \( x \). Once we have the value of \( x \), we can determine the correct ordered pair.

We start with the system of equations: \[ \begin{align*}

1. & \quad x + y = 5 \\
2. & \quad y = 7 \end{align*} \] Substituting \( y = 7 \) into the first equation gives: \[ x + 7 = 5 \]

Now, we solve for \( x \): \[ x = 5 - 7 = -2 \]

The solution to the system of equations is the ordered pair: \[ (x, y) = (-2, 7) \]

Final Answer