Question

Use the elimination method to solve the following system of equations. x-2y = 2 4x -8y 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There is one solution. The solution of the system is (Simplify your answer. Type an ordered pair.) O B. The solution set of the system is {(x,y) x - 2y = 2 O C. The solution set is Ø

Answer 1

solution: The given system of equation: ar 2 = 2 – (i) 48-8y = 2 (ii) use elimination method to solve the system: Now, multiplying (i) by 4 we get - 4x + 8y = -8 — (i) Now adding (ii) and (ii) we get 40 - 87 = 2 - 4x + 8y = -8 O tome or, o = – 6 but zero can not equal - 6 . so the statement o f makes no sence. Therfore, the system is inconsistent and has no solution. Hence, c. The solution set is o.