x = y - 3x/2 + 2y = 6Which ordered pair (x, y) satisfies the system of equations shown above?

Explanation

Choice B is correct. The first equation can be rewritten as y - x = 3 and the second as x/4 + y = 3, which implies that -x = x/4 and so x = 0. The ordered pair (0, 3) satisfies the first equation and also the second, since 0 + 2(3) = 6 is a true equality.Alternatively, the first equation can be rewritten as y = x + 3. Substituting x + 3 for y in the second equation gives x/2 + 2(x+3) = 6. This can be rewritten using the distributive property as x/2 + 2x + 6 = 6.It follows that 2x + x/2 must be 0. Thus, x = 0. Substituting 0 for x in the equation y = x + 3 gives y = 3. Therefore, the ordered pair (0, 3) is the solution to the system of equations shown.