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Sagot :
Answer:
(3, -1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
Algebra I
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
Step 1: Define Systems
3x - y = 10
2x - y = 7
Step 2: Rewrite Systems
3x - y = 10
- Subtract 3x on both sides: -y = 10 - 3x
- Divide -1 on both sides: y = 3x - 10
Step 3: Redefine Systems
y = 3x - 10
2x - y = 7
Step 4: Solve for x
Substitution
- Substitute in y: 2x - (3x - 10) = 7
- Distribute -1: 2x - 3x + 10 = 7
- Combine like terms: -x + 10 = 7
- Isolate x term: -x = -3
- Isolate x: x = 3
Step 5: Solve for y
- Define equation: 3x - y = 10
- Substitute in x: 3(3) - y = 10
- Multiply: 9 - y = 10
- Isolate y term: -y = 1
- Isolate y: y = -1
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