x + y = 18 5 y = x What is the solution x , y to the given system

Question

x + y = 18 5 y = x What is the solution x , y to the given system of equations?

Accepted Answer

Choice A is correct. The second equation in the given system defines the value of x as 5 y . Substituting 5 y for x into the first equation yields 5 y + y = 18 or 6 y = 18 . Dividing each side of this equation by 6 yields y = 3 . Substituting 3 for y in the second equation yields 5 3 = x or x = 15 . Therefore, the solution x , y to the given system of equations is 15 , 3 . Choice B is incorrect. Substituting 16 for x and 2 for y in the second equation yields 5 2 = 16 , which is not true. Therefore, 16 , 2 is not a solution to the given system of equations. Choice C is incorrect. Substituting 17 for x and 1 for y in the second equation yields 5 1 = 17 , which is not true. Therefore, 17 , 1 is not a solution to the given system of equations. Choice D is incorrect. Substituting 18 for x and 0 for y in the second equation yields 5 0 = 18 , which is not true. Therefore, 18 , 0 is not a solution to the given system of equations.

Question x-y-18