Question

Check to see if the given coordinate is a solution to the system of equations. (-3,4)

2x - 6y = 0

3x - 4y = 5


No, it is not a solution.


Yes, it is a solution.

Answer 1

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.

1. 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.

2. 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.**