systems of equations , math homework help
correctly answer and provide explanationA student solves the system of equations given below. In which line is an error first made?2x - y = 6 2x + y = 10Line 1 2x - y = 6 - 2x + y = 10 Line 2 0 = 4 Line 3 0 -4 so there is no solutiona. Line 1b. Line 2c. Line 3d. There is no error===========================================================================Which of the following situations would give you a system of equations that have at least 2 solutions?a.Two lines are parallel and have different y-intercepts.b. Two lines have the same slope and both pass through the origin.c. Two lines are perpendicular and have the same y-intercept.d. Two lines have negative slopes and different y-intercepts. ============================================================================What is the best estimate for the solution to the system of equations shown on the graph below?a. (2, 3)b. (3, 2)c. (2.5, 3.5)d. (3.5, 2.5)==================================================================================Solve the system of equations.3x = -31 + 2y 5x + 6y = 23a. x = -5, y = 8b. x = - 29, y = - 28c. no solutiond. infinite solutions-----------------------------------------------------------------------------------------------------------Solve the system of equations.6d + 3f = 122d = 8 - fa. d= 3, f = 2b. d = 3, f = 14c. no solutiond. infinite solutions-------------------------------------------------------------------------Which of the following systems is consistent and dependent?a. y = x + 4; y = x - 4b. x + y = 4; 2x + 2y = 6c. 3x + y = 3; 2y = 6x + 6d. 4x - 2y = 6; 6x - 3y = 9=================================================Which graph shows a system of equations with no solution?A.B.C.D.===============================================================The caterer at a brunch bought several pounds of chicken salad and several pounds of tuna salad. The chicken salad cost $9 per pound, and the tuna salad cost $6 per pound. He bought a total of 14 pounds of salad and paid a total of $111. How much chicken salad did hebuy?a. 6 poundsb. 7 poundsc. 8 poundsd. 9 pounds--------------------------------------------------------------------------------------In order to practice at home, Tadeo purchased a basketball and a volleyball that cost a total of $67, not including tax. If the price of the basketball b is $4 more than twice the cost of the volleyball v. Which system of linear equations could be used to determine the price of each ball?a. b + v = 67; b = 2v - 4b. b + v = 67; b = 2v + 4c. b + v = 4; b = 2v - 67d. b + v = 4; b = 2v + 67===================================================================Which of the following best describes the graph of the equations?4y = 3x + 8 -6x = -8y + 24a. The lines are parallelb. The lines have the same x-interceptc. The lines are perpendiculard. The lines have the same y-intercept
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