Solve the given system of linear equations by inspection. Enter 1 for one solution,2 for no solution, or 3 for infinitely many solutions

2x-7y=4
2x-7y=-4

1 answer

The given system of linear equations can be rewritten as:

2x - 7y = 4 ...(Equation 1)
2x - 7y = -4 ...(Equation 2)

By comparing the coefficients of x and y in both equations, we can see that they are the same. However, the constant terms are different.

Since the coefficients of x and y are the same, but the constant terms are different, this implies that the two lines represented by the equations are parallel.

Parallel lines never intersect, which means there is no solution to the system of equations.

Therefore, the answer is 2 for no solution.