Question

6x-5y=15 x=y+3 find x and y

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

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

Explanation:

Step 1: Define Systems

6x - 5y = 15

x = y + 3

Step 2: Solve for y

Substitution

1. Substitute in x: 6(y + 3) - 5y = 15
2. Distribute 6: 6y + 18 - 5y = 15
3. Combine like terms: y + 18 = 15
4. [Subtraction Property of Equality] Subtract 18 on both sides: y = -3

Step 3: Solve for x

1. Define original equation: x = y + 3
2. Substitute in y: x = -3 + 3
3. Add: x = 0