7 2 x + 6 y = 25 5 2 x + 6 y = 23 The solution to the

Question

7 2 x + 6 y = 25 5 2 x + 6 y = 23 The solution to the given system of equations is x , y . What is the value of 17 2 x + 18 y ?

Accepted Answer

Choice D is correct. Multiplying the second equation in the given system by 2 yields 10 2 x + 12 y = 46 . Adding this equation to the first equation in the system yields 7 2 x + 6 y + 10 2 x + 12 y = 25 + 46 , which is equivalent to 7 2 x + 10 2 x + 6 y + 12 y = 25 + 46 , or 17 2 x + 18 y = 71 . Therefore, the value of 17 2 x + 18 y is 71 . Choice A is incorrect. This is the value of x , not the value of 17 2 x + 18 y . Choice B is incorrect. This is the value of y , not the value of 17 2 x + 18 y . Choice C is incorrect. This the value of 7 2 x + 6 y + 5 2 x + 6 y , or 6 x + 12 y , not the value of 17 2 x + 18 y .

Question 7-2-x-