Answer the question.Consider the equation 5(-3 - x) + x = 14x - 5(3 - x). Now consider the following system of equations solvable by the substitution method: y = 5(-3 - x) + x y = 14x - 5(3 - x).Explain the connections that exist between the single equation and the system of two equations.

What will be an ideal response?


Answers may vary. One possibility: The left and right sides of the single equation are identical to the two right sides of the equations in the system. The single equation yields a solution of x = 0. Simply substitute this value of x in either of the equations of the system to determine that y = -15.

Mathematics

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