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An equation is shown below.

9x - y = -2

Part A: Explain how you will show all of the solutions that satisfy this equation.

Part B: Determine three different solutions for this equation.

Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent.

Answer :

nobillionaireNobley
9x - y = -2
Part A. To find the solutions that satisfy the equation, find the corresponding values of y for each given value of x.

Part B. Let x = -3, 9(-3) - y = -2
y = -27 + 2 = -25
Let x = 0, 9(0) - y = -2
y = 2
Let x = 3, 9(3) - y = -2
y = 27 + 2 = 29
Therefore, three different solutions are (-3, -25), (0, 2), (3, 29)

Part C. Pairing the equation with 18x - 2y = 5 will result in a system of equations that is inconsistent.

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