To determine if the coordinate (-3, 4) is a solution to the system of equations, we need to substitute \(x = -3\) and \(y = 4\) into both equations and check if they hold true.
- For the first equation: \[ 2x - 6y = 0 \] Substituting in \(x = -3\) and \(y = 4\): \[ 2(-3) - 6(4) = -6 - 24 = -30 \quad (\text{not } 0) \]
Thus, the first equation is not satisfied.
- For the second equation: \[ 3x - 4y = 5 \] Substituting in \(x = -3\) and \(y = 4\): \[ 3(-3) - 4(4) = -9 - 16 = -25 \quad (\text{not } 5) \]
The second equation is also not satisfied.
Since (-3, 4) does not satisfy either equation, we conclude:
No, it is not a solution.