Solve the given system of linear equations by inspection enter 1 for solution, 2 for no slolutionor 3 for infinite 2x-7y=4, 2x-7y=-4
The given system of linear equations is:
2x - 7y = 4
2x - 7y = -4
By inspection, we can see that the two equations are identical. This means that the system has infinitely many solutions.
Therefore, the correct answer is:
3 (for infinite solutions).
To solve the given system of linear equations, let's compare the two equations:
Equation 1: 2x - 7y = 4
Equation 2: 2x - 7y = -4
By comparing the coefficients of x and y in both equations, we can observe that they are the same. Additionally, the constant terms on the right side of the equations are different. This indicates that the two lines represented by the equations are parallel.
When two lines are parallel, they do not intersect, meaning they have no common solution. Therefore, the given system of linear equations has no solution.
Thus, the answer is 2 (no solution).
To solve the given system of linear equations by inspection, we can compare the coefficients of the variables and the constant terms in both equations.
Looking at the equations:
Equation 1: 2x - 7y = 4
Equation 2: 2x - 7y = -4
We can observe that the coefficients of the variables (2 and -7) are the same in both equations, which means the lines represented by these equations are parallel.
Since parallel lines never intersect, there is no solution to this system of equations.
Therefore, the correct answer is 2 (no solution).