Question

1. -7x - 2y = -13

Explanation:

To solve for one variable in terms of the other (e.g., solve for \( y \) in terms of \( x \)):

Step 1: Isolate the term with \( y \)

Start with the equation \( -7x - 2y = -13 \). Add \( 7x \) to both sides to get \( -2y = 7x - 13 \).

Step 2: Solve for \( y \)

Divide every term by \( -2 \): \( y = \frac{7x - 13}{-2} = -\frac{7}{2}x + \frac{13}{2} \).

If we assume we want to find integer solutions or solve for \( x \) in terms of \( y \), the process is similar. For solving for \( x \):

Step 1: Isolate the term with \( x \)

Start with \( -7x - 2y = -13 \). Add \( 2y \) to both sides: \( -7x = 2y - 13 \).

Step 2: Solve for \( x \)

Divide by \( -7 \): \( x = \frac{2y - 13}{-7} = -\frac{2}{7}y + \frac{13}{7} \).

Since the problem isn't fully specified (e.g., solving for a specific variable, finding a solution with another equation, etc.), a common approach is solving for \( y \) in terms of \( x \) as above.

Answer:

If solving for \( y \) in terms of \( x \), \( \boldsymbol{y = -\frac{7}{2}x + \frac{13}{2}} \); if solving for \( x \) in terms of \( y \), \( \boldsymbol{x = -\frac{2}{7}y + \frac{13}{7}} \)