In Exercises 31–42, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
36.
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College Algebra Essentials (5th Edition)
- In Exercises 7-18, solve the given system of linear equations. 13. x + 2y = -3 x z=0 x + 3y2z = -2arrow_forward24. Solve the system of equations.* y=-2x² 3x2 +y = 52 *More than one answer may be correct; check all that apply. O (4, – 8) 13 (2i, - 8) 13 ン V13 2. 13) O -21, 4) O (-2i, - 8) (-V13, – 8) □ (學,-号 ) V13 (2i, )arrow_forwardSolve the system of linear equations. 8) x + y - 2 x - y = 14 A) Ø B) ((8. -6)} C) {(-8, -5)} D) {(7. -5))arrow_forward
- What is/are the solution(s) to the systemy= x²+4, y = -x+4 and y=x+4? O no correct answer O (1.5) O (04) O no solution O (1.3)arrow_forwardCan you only answer the equation part?arrow_forwardDetermine whether the system is consistent. 1) x1 - x2 + 3x3 = -11 -4x1 + 4x2 - 12x3 = -2 x1 + +3x2 + x3 = -17arrow_forward
- 41) Place each equation or system of equations into one of these categories. One solution Infinitely Many solutions Two solutions No solution Y= -3 Tーメ しarrow_forwardExercise 5arrow_forwardDetermine if the linear system * -21 + 2x₂ = 3 422 = 0 is in echelon form. First choose which of the following statements are correct. If there is more than one reason why the system is not in echelon form, type the letters as a comma separated list. If the system is in echelon form, make sure to type D as your answer. Free variable(s): A. The system is not in echelon form because a variable is the leading variable of two or more equations. B. The system is not in echelon form because the system is not organized in a descending "stair step" pattern so that the index of the leading variables increases from the top to bottom. C. The system is not in echelon form because not every equation has a leading variable. D. The system is in echelon form. Correct Letter(s): If the system is in echelon form, also identify the leading variables and the free variables in the corresponding answer blanks below. Type x1 and x2 to enter the variables ₁ and 2 and separate multiple variables by using a…arrow_forward
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