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Answer:
(5, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = x - 2
-2x + 3y = -1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: -2x + 3(x - 2) = -1
- Distribute 3: -2x + 3x - 6 = -1
- Combine like terms: x - 6 = -1
- Isolate <em>x</em>: x = 5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x - 2
- Substitute in <em>x</em>: y = 5 - 2
- Subtract: y = 3
