6 x + 7 y = 28 2 x + 2 y = 10 The solution to the given system

Question

6 x + 7 y = 28 2 x + 2 y = 10 The solution to the given system of equations is x , y . What is the value of y ?

Accepted Answer

Choice A is correct. The given system of linear equations can be solved by the elimination method. Multiplying each side of the second equation in the given system by 3 yields 2 x + 2 y ( 3 ) = 10 3 , or 6 x + 6 y = 30 . Subtracting this equation from the first equation in the given system yields 6 x + 7 y - 6 x + 6 y = 28 - 30 , which is equivalent to 6 x - 6 x + 7 y - 6 y = 28 - 30 , or y = - 2 . Choice B is incorrect. This is the value of x , not the value of y . 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 6-x-7-