Question

Y = -3x - 2 and 5x + 2y = 15

Answer 1

(-19, 55)

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 using substitution/elimination

Explanation:

Step 1: Define Systems

y = -3x - 2

5x + 2y = 15

Step 2: Solve for x

Substitution

1. Substitute in y: 5x + 2(-3x - 2) = 15
2. Distribute 2: 5x - 6x - 4 = 15
3. Combine like terms: -x - 4 = 15
4. Isolate x term: -x = 19
5. Isolate x: x = -19

Step 3: Solve for y

1. Define original equation: y = -3x - 2
2. Substitute in x: y = -3(-19) - 2
3. Multiply: y = 57 - 2
4. Subtract: y = 55