Question

Please help me its about solving system by substitution

Answer 1

(-3, 4)

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
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y = -x + 1

2x + 3y = 6

Step 2: Solve for x

Substitution

1. Substitute in y: 2x + 3(-x + 1) = 6
2. Distribute 3: 2x - 3x + 3 = 6
3. Combine like terms: -x + 3 = 6
4. Isolate x terms: -x = 3
5. Isolate x: x = -3

Step 3: Solve for y

1. Define equation: y = -x + 1
2. Substitute in x: y = -(-3) + 1
3. Simplify: y = 3 + 1
4. Add: y = 4