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MTH-4101-2 A Equations & Inequalities II1. Without calculating, what is the solution of the system of equations below? y x /52. Without calculating, determine the solution of the system of equations below: x y x 1) + =5 2 3 2) 3 + 2 y −14 = 0 x y x y 10 0 3 6.5 6 6 0 7 2 12 42 0 -2 18 6 6 0 15 12 5 /33. Without calculating, express as a system of equations of the first degree in two variables. We wish to spend $164.00 by purchasing 10 books, some costing $15.00, and other $17.00. How many books of each price do we buy? /5
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4. Solve graphically the system of equations. Set up tables of values, identify the type of lines and determine the solution set. y 1) − x += 0.5 y 5 2) −+ + x 2y 3 =0 x /55. Solve graphically the system of equations. Set up tables of values, identify the type of lines and determine the solution set. y 1) 3x +5y =25 2) 8x − 3y =34 x /56. Solve each system of equations by a method of your choice:
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a) 1) 3x = ( y + ) 2 2 9 2) 2 y =3 x − /10 7 b) 1) 2 x + 2 y = 31 x 2) 3 − 5 y = −23 /10 c) 1) 2 x −y = 3 5 2) 10 x − = y 25 15 /107. Grace said to Raymond, “7 years ago, I was triple your age then, and in 7 years, I’ll be double your age then.”
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Find Grace and Raymond’s present age. /98. The difference between two numbers is 7. Twice the larger number plus three times he smaller number equals 29. Find these two numbers. /99. For one day’s work, a contractor paid $632 to 5 carpenters and 2 plumbers. The next day he paid $648 to 3 carpenters and 4 plumbers. Determine the daily salary of a carpenter and a plumber. /910. Given the system of inequalities represented below:
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y 1) 2 +1 > 0 2) 3y – 2x < 18 State whether or not the given ordered pairs are solution-pairs of the system. Answer by yes or no. a) (1, 1) ______________ b) (2, –4) ______________ /411. Draw the graph representing the solution set of the following system of inequalities: y 1) 3x – 5y < 15 2) 3y – 3x ≤ –9 x y /8 x12. Draw the graph representing the solution set of the following system of inequalities: 1) 2x + 3y < 4x + 5
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