The table can be used to determine the solution to the system of equations, 2 y minus x is equal to 8 and y minus 2 x is equal to negative 5 Original System Equivalent System Sum of Equations in Equivalent System Solution to System New System using Sum Solution to New System 2 y minus x is equal to 8; y minus 2 x is equal to negative 5 2 y minus x is equal to 8; negative 2 y plus 4 x is equal to 10 3 x is equal to 18 2 y minus x is equal to 8; 3 x is equal to 18 Which solution can be used to fill in both blanks in the table?
The summed equation is 3x = 18, so x = 6. Substitute x = 6 into 2y − x = 8: 2y − 6 = 8, giving y = 7. The solution is (6, 7), choice B.
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