What is the solution to the system of equations? y is equal to 1 half x plus 6 and y is equal to negative 3 fourths x minus 4

Set the two expressions for y equal: ½x + 6 = −¾x − 4. Adding ¾x to both sides and subtracting 6 gives 1¼x = −10, so x = −8. Substituting into y = ½x + 6 gives y = −4 + 6 = 2. The solution is (−8, 2), choice B.

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