Solve the system by the method of elimination.
B)inconsistent

Question

Solve the system by the method of elimination. 
B)inconsistent

Quizplus · Accepted Answer

Since none of the coefficients are the same for both equations, we can easily eliminate one variable by multiplying one or both equations by a constant to make one of the variables equal with opposite signs. In this case, we can multiply the first equation by -3 to get -33y - 12x = -105 and then add this to the second equation to get 22y = 29. Solving for y yields y = 29/22. Plugging this value into either equation gives us x = -1/2. Therefore, the solution to the system is (x,y) = (-1/2, 29/22), which matches choice A.

Solve the System by the Method of Elimination