Question

Solve the following system of equations {3x−3y=95x+3y=−25 x = ___________ y =

Answer 1

Answer:

x = -2

y = -5

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

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

Algebra I

• Solving systems of equation using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x - 3y = 9

5x + 3y = -25

Step 2: Solve for x

Elimination

1. [Addition] Combine 2 equations:                                                                    8x = -16
2. [Division Property of Equality] Divide 8 on both sides:                                  x = -2

Step 3: Solve for y

1. Substitute in x [1st Equation]:                                                                           3(-2) - 3y = 9
2. Multiply:                                                                                                             -6 - 3y = 9
3. [Addition Property of Equality] Add 6 on both sides:                                    -3y = 15
4. [Division Property of Equality] Divide -3 on both sides:                                y = -5