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Questions and Answers
What is the solution to the system of equations $x + y = 5$ and $2x - 3y = 4$ using the elimination method?
What is the solution to the system of equations $x + y = 5$ and $2x - 3y = 4$ using the elimination method?
- x = 4, y = 1
- x = 3, y = 2 (correct)
- x = 2, y = 3
- x = 1, y = 4
What is the solution to the system of equations $3x - 5y - 4 = 0$ and $9x = 2y + 7$?
What is the solution to the system of equations $3x - 5y - 4 = 0$ and $9x = 2y + 7$?
- x = -1, y = -2
- x = -1, y = 2 (correct)
- x = 1, y = 2
- x = 2, y = 1
What fraction satisfies the conditions: adding 1 to the numerator and subtracting 1 from the denominator makes the fraction $\frac{1}{2}$, and adding 1 to the denominator makes it $\frac{1}{3}$?
What fraction satisfies the conditions: adding 1 to the numerator and subtracting 1 from the denominator makes the fraction $\frac{1}{2}$, and adding 1 to the denominator makes it $\frac{1}{3}$?
- 3/7
- 2/5 (correct)
- 4/9
- 3/8
Which algebraic method can be used to solve the system of equations $x + y = 5$ and $2x - 3y = 4$?
Which algebraic method can be used to solve the system of equations $x + y = 5$ and $2x - 3y = 4$?
What is the first step in solving the system of equations $x + y = 5$ and $2x - 3y = 4$ using the elimination method?
What is the first step in solving the system of equations $x + y = 5$ and $2x - 3y = 4$ using the elimination method?
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Study Notes
Exercise 3.3: Solving Linear Equations
Part 1: Elimination Method and Algebraic Methods
- Solve the pair of linear equations using elimination and algebraic methods:
- Equation (i): x + y = 5 and 2x - 3y = 4
- Equation (ii): 3x - 5y - 4 = 0 and 9x = 2y + 7
Part 2: Forming and Solving Linear Equations
- Form the pair of linear equations and solve them using the elimination method:
- Problem: A fraction changes to 1/2 when 1 is added to the numerator and 1 is subtracted from the denominator, and changes to 1/3 when 1 is added to the denominator.
- Goal: Find the original fraction.
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