Question

Find the solution to the system of equations using any method

2x+4y=-12

y = 4x - 3

Answer 1

(0, -3)

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
• Solving systems of equations by graphing

Explanation:

Step 1: Define systems

2x + 4y = -12

y = 4x - 3

Step 2: Solve for x

Substitution

1. Substitute in y: 2x + 4(4x - 3) = -12
2. Distribute 4: 2x + 16x - 12 = -12
3. Combine like terms: 18x - 12 = -12
4. Isolate x term: 18x = 0
5. Isolate x: x = 0

Step 3: Solve for y

1. Define original equation: y = 4x - 3
2. Substitute in x: y = 4(0) - 3
3. Multiply: y = 0 - 3
4. Subtract: y = -3

Step 4: Graph systems

Check the solution set.