Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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- Show all work to verify if the given point is a solution to the system of equations. (3y² + 3x² = 6 4y² — 16x² + 12 = 0 Point: (-1,-1)arrow_forwardDetermine the value(s) of k such that the system of linear equations has the indicated number of solutions. (Enter your answers as a comma-separated list.) No solution x + ky = 5 kx + y = 2 k=arrow_forwardThe linear system is not in echelon form. Correct Letter(s): 6x1 Begin by choosing 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. Now write the system in echelon form. Equation 1: Equation 2: Equation 3: 3x3 = -6 3x3 X2 + 7x2 + 3x3 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. stem is not in echelon form because not every equation has a leading variable. (x1, x2, x3): = = 0 12 Finally, solve the system. Use x1, x2, and x3 to enter the variables x₁, x2, and x3. If necessary, use s1, s2, etc. to enter the free variables $1, 82, etc. -(000)arrow_forward
- Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = ', or 'a #', then specify a value or comma- separated list of values. ax7+3x2+3x3 = 0 x7+3x2+6x3 = 0 3x1+9x2+8x3 = 0 No Solutions: Unique Solution: Infinitely Many Solutions: Official Time: 21:16:40 Always Always Always Always Never When a = When a # SUBMIT AND MARK SAVE AND CLOSEarrow_forward1 Which of these systems of linear equations has no solution? A. y= 3x + 8 y = 3x + 16 B. y= 3x + 16 y = 6x + 16 C. y= 3x + 8 y = 6x + 16 D. y= 3x + 8 y = 8x + 16arrow_forward1. Solve the system of linear equations 3x + 2y 2 6x + 4y b 2-2 +4² y-1 3 C X- X1 - 3y 2x2 3x1 + 2x2 - - TE 14 2 20 + 5x3 = X3 2arrow_forward
- Which property below is not a property of triangular linear systems? Every variable is the leading variable of exactly one equation. There is one and only one solution to the system. Every variable is the leading variable of at most one equation. There are the same number of equations in the system as there are variables in the system.arrow_forwardFind the set of solutions for the linear system -3x1 6x2 3x3 9. 672 8x3 -8 Use x3, x2, etc. for the free variables if necessary. Indicate if a variable is free by writing the same variable in the space (so if x1 is free, write x1 =x1). 2x2 - x3 - 3 4/3x3 - 4/3 x3 = x3arrow_forwardx₁ = x₂ = x3 = Solve the following system of three linear equations in three unknowns. x₁ + 2x₂ + x3 = 9 4 x1 = 4 = 7 x2 x1 + x₂ X3arrow_forward
- The following system of linear equations is given: 3x + 2y – 4z = 4 (1) -2x + 3y + z = 12 (2) X – 2y + 2z = -10 (3) What is the value of x + y + z? .a 4 .b .C 2 .d 3arrow_forwardDetermine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = ', or 'a #', then specify a value or comma-separated list of values. 3x7+6x2+ax3 = 3 2x1+9x2x3 = 17 2x1+7x2-3x3 = 12 No Solutions: Unique Solution: Infinitely Many Solutions: Always Always Alwaysarrow_forwardPLEASEEE DO THIS FASTTTarrow_forward
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