Solve the system of linear equations by the elimination method.
D)The lines are parallel.
E)The lines coincide.

Question

Solve the system of linear equations by the elimination method. 
D)The lines are parallel. 
E)The lines coincide.

Quizplus · Accepted Answer

If the lines are parallel, they have the same slope but different y-intercepts. By comparing the coefficients of x and y in the two equations and setting up the system of equations for elimination, we obtain:
-5x - 5y = -45
5x + 5y = 25
Adding the two equations results in 0 = -20, which is a contradiction. Therefore, the system has no solution, which means the lines are parallel.

Solve the System of Linear Equations by the Elimination Method