If is a solution to the system of equations above, which of the following could be the value of x

Question

If is a solution to the system of equations above, which of the following could be the value of x ?

Accepted Answer

Choice A is correct. It is given that y = x + 1 and y = x 2 + x. Setting the values for y equal to each other yields x + 1 = x 2 + x. S ubtracting x from each side of this equation yields x 2 = 1. Therefore, x can equal 1 or -1. Of these, only -1 is given as a choice. Choice B is incorrect. If x = 0, then x + 1 = 1, but x 2 + x = 0 2 + 0 = 0 &ne;&#65024; 1. Choice C is incorrect. If x = 2, then x + 1 = 3, but x 2 + x = 2 2 + 2 = 6 &ne;&#65024; 3. Choice D is incorrect. If x = 3, then x + 1 = 4, but x 2 + x = 3 2 + 3 = 12 &ne;&#65024; 4.

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