Question

-3x-3y=3 ,y=-5x-17 solving systems by substitution

Answer 1

(-4, 3)

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

Equality Properties

Algebra I

• Solving systems of equations by substitution/elimination

Explanation:

Step 1: Define Systems

-3x - 3y = 3

y = -5x - 17

Step 2: Solve for x

Substitution

1. Substitute in y: -3x - 3(-5x - 17) = 3
2. Distribute -3: -3x + 15x + 51 = 3
3. Combine like terms: 12x + 51 = 3
4. Isolate x term: 12x = -48
5. Isolate x: x = -4

Step 3: Solve for y

1. Define equation: y = -5x - 17
2. Substitute in x: y = -5(-4) - 17
3. Multiply: y = 20 - 17
4. Subtract: y = 3