The given system of linear equations is:
2x - 7y = 4
and
2x - 7y = -4
By inspection, we can see that the two equations are identical. This means that they represent the same line.
Therefore, the given system of linear equations has infinitely many solutions. So the answer is 3.
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
3 answers
are you sure
I apologize for the mistake.
Upon further inspection, we can see that the two equations have the same left-hand side, but different right-hand sides. Therefore, the equations do not represent the same line.
Since the coefficients of x and y are the same in both equations, we can subtract one equation from the other to eliminate x:
(2x - 7y) - (2x - 7y) = 4 - (-4)
0 = 8
This equation is not true, so there is no solution that satisfies both equations.
Therefore, the given system of linear equations has no solution. The answer is 2.
Upon further inspection, we can see that the two equations have the same left-hand side, but different right-hand sides. Therefore, the equations do not represent the same line.
Since the coefficients of x and y are the same in both equations, we can subtract one equation from the other to eliminate x:
(2x - 7y) - (2x - 7y) = 4 - (-4)
0 = 8
This equation is not true, so there is no solution that satisfies both equations.
Therefore, the given system of linear equations has no solution. The answer is 2.