y - 9 x = 13 5 x = 2 y What is the solution x , y to the

Question

y - 9 x = 13 5 x = 2 y What is the solution x , y to the given system of equations?

Accepted Answer

Choice C is correct. Adding 9 x to both sides of the first equation in the given system yields y = 9 x + 13 . Substituting the expression 9 x + 13 for y in the second equation in the given system yields 5 x = 2 9 x + 13 . Distributing the 2 on the right-hand side of this equation yields 5 x = 18 x + 26 . Subtracting 18 x from both sides of this equation yields - 13 x = 26 . Dividing both sides of this equation by - 13 yields x = - 2 . Substituting - 2 for x in the equation y = 9 x + 13 yields y = 9 - 2 + 13 , or y = - 5 . Therefore, the solution x , y to the given system of equations is - 2 , - 5 . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect. This is the solution y , x , not x , y , to the given system of equations.

Question y-9-x-