Question

Y = x - 2
-2x + 3y = -1
What is x and y?

Answer 1

(5, 3)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

• Solving systems of equations by graphing

Explanation:

Step 1: Define systems

y = x - 2

-2x + 3y = -1

Step 2: Solve for x

1. Substitute in y: -2x + 3(x - 2) = -1
2. Distribute 3: -2x + 3x - 6 = -1
3. Combine like terms: x - 6 = -1
4. Isolate x: x = 5

Step 3: Solve for y

1. Define equation: y = x - 2
2. Substitute in x: y = 5 - 2
3. Subtract: y = 3