Question

4x + 3y = 12 2x + 3y = -6 select each correct answer

Answer 1

(9, -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
• Subtract Property of Equality

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

4x + 3y = 12

2x + 3y = -6

Step 2: Rewrite Systems

4x + 3y = 12

1. Multiply everything by -1: -4x - 3y = -12

Step 3: Redefine Systems

-4x - 3y = -12

2x + 3y = -6

Step 4: Solve for x

Elimination

1. Combine 2 equations: -2x = -18
2. Divide -2 on both sides: x = 9

Step 5: Solve for y

1. Define equation: 2x + 3y = -6
2. Substitute in x: 2(9) + 3y = -6
3. Multiply: 18 + 3y = -6
4. Subtract 18 on both sides: 3y = -24
5. Divide 3 on both sides: y = -8