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Sagot :
Answer:
C. 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- 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
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
Step 1: Define Systems
y = 2x + 1
x + 3y = 10
Step 2: Solve for x
Substitution
- Substitute in y: x + 3(2x + 1) = 10
- Distribute 3: x + 6x + 3 = 10
- Combine like terms: 7x + 3 = 10
- [Subtraction Property of Equality] Subtract 3 on both sides: 7x = 7
- [Division Property of Equality] Divide 7 on both sides: x = 1
Step 3: Solve for y
- Define original equation: y = 2x + 1
- Substitute in x: y = 2(1) + 1
- Multiply: y = 2 + 1
- Add: y = 3
Step 4: Find difference
y = 3
x = 1
- Subtract: 3 - 1 = 2
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