Problem

CONSTRUCT AN ARGUMENT A student said that for $x-7=-15$, the value of $x$ can be any value. Is the student correct? Write an argument that can be used to defend your response. 7. Give an example of an addition equation and a subtraction equation that each have a solution of 10 .

Solution

Step 1 :The student's claim is incorrect. Solve the equation: \(x - 7 = -15\)

Step 2 :Add 7 to both sides: \(x = -8\)

Step 3 :\boxed{x = -8} is the unique solution.

Step 4 :An addition equation with a solution of 10: \(3 + 7 = 10\)

Step 5 :A subtraction equation with a solution of 10: \(15 - 5 = 10\)

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Source: https://solvelyapp.com/problems/15425/

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