Question

Find the solution of the system of equations

-6x + 5y = 34
-6x - 10y = 4

(_, _)

Answer 1

(-4, 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

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

-6x + 5y = 34

-6x - 10y = 4

Step 2: Rewrite Systems

-6x + 5y = 34

1. Multiply everything by -1: 6x - 5y = -34

Step 3: Redefine Systems

6x - 5y = -34

-6x - 10y = 4

Step 4: Solve for y

Elimination

1. Combine 2 equations: -15y = -30
2. Divide -15 on both sides: y = 2

Step 5: Solve for x

1. Define equation: -6x - 10y = 4
2. Substitute in y: -6x - 10(2) = 4
3. Multiply: -6x - 20 = 4
4. Add 20 on both sides: -6x = 24
5. Divide -6 on both sides: x = -4