Question

Solve using elimination x-2y=12 and 5x+3y=-44
(4,8)
(-4,8)
(4,-8)
(-4,-8)

Answer 1

(-4, -8)

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

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

Explanation:

Step 1: Define Systems

x - 2y = 12

5x + 3y = -44

Step 2: Rewrite Systems

x - 2y = 12

1. [Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60

Step 3: Redefine Systems

-5x + 10y = -60

5x + 3y = -44

Step 4: Solve for y

Elimination

1. Combine 2 equations: 13y = -104
2. [Division Property of Equality] Divide 13 on both sides: y = -8

Step 5: Solve for x

1. Define original equation: x - 2y = 12
2. Substitute in y: x - 2(-8) = 12
3. Multiply: x + 16 = 12
4. [Subtraction Property of Equality] Subtract 16 on both sides: x = -4