Question

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
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Answer 1

Let's examine the given system of linear equations:

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

Notice that both equations have the same left-hand side (\(2x - 7y\)). This implies that the two equations represent parallel lines with different constant terms on the right-hand side (4 and -4).

Since two parallel lines do not intersect, this system has **no solution**.

Therefore, the answer is **2** (no solution).