The first two steps in determining the solution set of the system of equations, y is equal to x squared minus 6 x plus 12 and y is equal to 2 x minus 4 , algebraically are shown in the table. Step Equation Step 1 x squared minus 6 x plus 12 is equal to 2 x minus 4 Step 2 x squared minus 8 x plus 16 is equal to 0 Which represents the solution(s) of this system of equations?
A
4 comma 4 and negative 4 comma 12C
negative 4 comma 4 and 4 comma 12D
negative 4 comma negative 12Set the two expressions for y equal, as shown: x² − 8x + 16 = 0. Factor to get (x − 4)² = 0, so x = 4. Substitute into y = 2x − 4: y = 2(4) − 4 = 4. The solution is (4, 4), choice C.
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