Question

What is the solution to this system of equations. Use any method you choose

4x + 3y = 37
y = x - 4

Answer 1

(7, 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

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

Algebra I

• Terms/Coefficients
• Coordinates (x, y)
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

4x + 3y = 37

y = x - 4

Step 2: Solve for x

Substitution

1. Substitute in y: 4x + 3(x - 4) = 37
2. Distribute 3: 4x + 3x - 12 = 37
3. Combine like terms: 7x - 12 = 37
4. [APE] Add 12 on both sides: 7x = 49
5. [DPE] Divide 7 on both sides: x = 7

Step 3: Solve for y

1. Define equation: y = x - 4
2. Substitute in x: y = 7 - 4
3. Subtract: y = 3