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D. (1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

5x - 2y = 9

3x + 4y = -5

Step 2: Rewrite systems

10x - 4y = 18

3x + 4y = -5

Step 3: Solve for x

Add to equations together:                    13x = 13Divide 13 on both sides:                          x = 1

Step 4: Solve for y

Define:                              3x + 4y = -5Substitute in x:                 3(1) + 4y = -5Multiply:                            3 + 4y = -5Isolate y term:                  4y = -8Isolate y:                           y = -2

And we have our final answer!