General System of equations for what Values of k does the following system have infinitely many solutions?
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Chapter 5 Solutions
College Algebra
- Substitution Method Use the substitution method to find all solutions of the system of equations. {x2+y=9xy+3=0}arrow_forwardElimination Method Use the elimination method to find all solutions of the system of solutions {x2y2=12x2y2=x+3}arrow_forwardSubstitutions method Use the substitution method to find all solutions of the system of equations. {y=x2y=x+12}arrow_forward
- Solve the system of equations: {x+2y+6z=5x+y2z=3x4y2z=1 .arrow_forwardFor each system of linear equations decide whether it would be more convenient to solve it by substitution or elimination. Explain your answer. (a) {4x5y=323x+2y=1 (b) {x=2y13x5y=7arrow_forwardSolving a system of equation in three variables Find the complete solution of the linear system, or show that it is inconsistent. {x+2y+5z=4x2z=04x2y11z=2}arrow_forward
- Height and Weight For a healthy person who is 4 feet 10 inches tall, the recommended minimum weight is about 91 pounds and increases by about 3.6 pounds for each additional inch of height. The recommended maximum weight is about 115 pounds and increases by about 4.5 pounds for each additional inch of height. (a) Let x be the number of inches by which a person’s height exceeds 4 feet 10 inches and let y be the person’s weight (in pounds). Write a system of inequalities that describes the possible values of x and y for a healthy person. (b) Use a graphing utility to graph the system of inequalities from part (a). (c) What is the recommended weight range for a healthy person who is 6 feet tall?arrow_forwardMotherboards A manufacturer produces motherboards and chips for computers. The production line produces 45 items per day, and each motherboard requires two chips the northbridge and the southbridge. a. Using M for the number of motherboards and C for the number of chips, write a system of two equation in two unknowns that determines the number of motherboards and the number of chips that are produced each day. b. How many motherboards and how many chips are produced each day?arrow_forwardDetermine the values of k such that the system of linear equations does not have a unique solution. x+y+kz=3x+ky+z=2kx+y+z=1arrow_forward
- Two angles are complementary. One angle is 12 larger than the other. Using two variable x and y, find the size of each angle by solving a system of equations.arrow_forwardA system of equation is given. (a) Determine whether the system is linear or nonlinear. (b) Find all solutions of the system. {6x+y2=103xy=5}arrow_forward
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