x + 2 y = 6 x - 2 y = 4 The solution to the given system of equations

Question

x + 2 y = 6 x - 2 y = 4 The solution to the given system of equations is x , y . What is the value of x ?

Accepted Answer

Choice B is correct. Adding the first equation to the second equation in the given system yields x + 2 y + x - 2 y = 6 + 4 , or x + x + 2 y - 2 y = 10 . Combining like terms in this equation yields 2 x = 10 . Dividing both sides of this equation by 2 yields x = 5 . Thus, the value of x is 5 . 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. This is the value of 2 x , not x .

Question a18ef7