To solve for \( x \) and \( y \) in the system of equations, we need both equations. The previous system was:

\[ \begin{cases} 
x + y = 7 \\
xy = 12 
\end{cases} \]

Assuming we use the same equations, we proceed as follows:

1. Express \( y \) in terms of \( x \) from the first equation:
   \[ y = 7 - x \]

2. Substitute \( y \) into the second equation:
   \[ x(7 - x) = 12 \]

3. Simplify the equation:
   \[ 7x - x^2 = 12 \]
   \[ x^2 - 7x + 12 = 0 \]

4. Factor the quadratic equation:
   \

Learn how to solve the linear equation x + y = 7 with a step-by-step solution. This problem involves basic algebraic concepts related to linear equations. Suitable for students in Grades 5-7.

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