8 x + y = 5 y = 9 x + 1 The solution to the given system of equations

Question

8 x + y = 5 y = 9 x + 1 The solution to the given system of equations is x , y . What is the value of x ?

Accepted Answer

Choice B is correct. The second equation in the given system is y = 9 x + 1 . Substituting 9 x + 1 for y in the first equation in the given system yields 8 x + 9 x + 1 = 5 , which is equivalent to 17 x + 1 = 5 . Subtracting 1 from both sides of this equation yields 17 x = 4 . Dividing both sides of this equation by 17 yields x = 4 17 . Choice A is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

Question 8-x-y-