Question

-4x + 3y = -2

Y = x - 1

Answer 1

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Distributive Property

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

1. Substitute in y: -4x + 3(x - 1) = -2
2. [Distributive Property] Distribute 3: -4x + 3x - 3 = -2
3. Combine like terms: -x - 3 = -2
4. [Addition Property of Equality] Add 3 on both sides: -x = 1
5. [Division Property of Equality] Divide -1 on both sides: x = -1

Step 3: Solve for y

1. Substitute in x [Original Equation]: y = -1 - 1
2. Subtract: y = -2