Solve the system of equations by any method. \[ -x+2 y=-1 \] \[ 7-14 y=8 \] Enter the exact answer as an ordered pair, \( (x, y) \). If there is no solution, enter NS. If there is an infinite number of solutions an ordered pair in terms of \( x \). Include a multiplication sign between symbols. For example, \( a * x \). n

To solve the system of equations: 1. From the second equation \( 7 - 14y = 8 \), we can simplify it: \[ -14y = 8 - 7 \] \[ -14y = 1 \] Dividing both sides by -14 gives: \[ y = -\frac{1}{14} \] 2. Now, substitute \( y = -\frac{1}{14} \) into the first equation: \[ -x + 2\left(-\frac{1}{14}\right) = -1 \] This simplifies to: \[ -x - \frac{2}{14} = -1 \] \[ -x - \frac{1}{7} = -1 \] \[ -x = -1 + \frac{1}{7} \] Converting -1 to a fraction: \[ -1 = -\frac{7}{7} \] So, \[ -x = -\frac{7}{7} + \frac{1}{7} \] \[ -x = -\frac{6}{7} \] Thus, \[ x = \frac{6}{7} \] The solution can be expressed as the ordered pair \( (x, y) \): \( \left( \frac{6}{7}, -\frac{1}{14} \right) \)