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1. Solve the system of equation algebraically: a. 2x + 3y = 1 x − 3y = 5 b. x − 4y = 3 3x + 2y = 0 −x + 2y = −2 c. 1 x − y = 3 2 d. x + 2y = −7 x + y = −3 e. x + y = 8 x − y = 4 f. 3x = 24 x + 2y = 0 g. 5x − y = 21 2x + 3y = −12 h. x + 3y = 5 2x − 3y = −8 i. 4x + 5y = −3 −2y = −8 j. 3x − 4y = 10 2x + 2y = 9 k. 3x − 6y = 2 5x + 4y = 1 l. 2x + y = 1 4x + 2y = 6 m. 3x + 3y = −1 4x + y = 83 n. 2x + 3y = 6 x − y = 12 1 x + y = −2 o. 2 x − 2y = 8 1 x + 2 p. 1 x − 4 1 x − 3 q. 3 x + 4 1 3y = 3 2 3y = −1 3 2y = −5 1 3y = 11 12x − 4y = −3 r. 2 3x − y = −2 3 2. The graph of two equations is shown below. Which of the following ordered pair can be a possible solution to the system of equation? a (2, 3) b (2, −3) c (−2, 3) to answer the question. d (−2, −3) e There is not enough information 3. Which of the statement(s) is/are true: I. An inconsistent system of equations has no solution II. An independent system of equations has infinitely many solution III. A dependent system of equations has exactly one solution a. I only all false b. II only c. II and III only d. I and III only e. They are