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Sagot :
Answer:
a = 4
b = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Algebra I
- Equality Properties
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
Step 1: Define Systems
a + 4b = -4
a + 10b = -16
Step 2: Rewrite Systems
a + 4b = -4
- Subtract 4b on both sides: a = -4 - 4b
Step 3: Redefine Systems
a = -4 - 4b
a + 10b = -16
Step 4: Solve for b
Substitution
- Substitute in a: -4 - 4b + 10b = -16
- Combine like terms: -4 + 6b = -16
- Isolate b term: 6b = -12
- Isolate b: b = -2
Step 5: Solve for a
- Define equation: a + 4b = -4
- Substitute in b: a + 4(-2) = -4
- Multiply: a - 8 = -4
- Isolate a: a = 4
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