In Exercises 15–22, solve the given linear system by any method.
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- Exercises 7–12: Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 9. 2Va + 2 = 1arrow_forwardIn Exercises 7–10, the augmented matrix of a linear system has been reduced by row operations to the form shown. In each case, continue the appropriate row operations and describe the solution set of the original system. 1 7 3 -4 1 -4 1 -1 3 7. 8. 1 7 1 1 -2 0 -4 0 -7 1 -1 1 -3 9. 1 -3 -1 4arrow_forwardIn Exercises 3–6, solve each system by graphing. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 3. x + y = 5 3x - y = 3 4. [3x – 2y = 6 16x – 4y = 12 3 y 6. [y = -x + 4 |3x + 3y = -6 5. 5h 2х — у %3D — 4arrow_forward
- In Exercises 1–4, determine if the system has a nontrivial solution. Try to use as few row operations as possible.arrow_forwardIn Exercises 7–10, determine the values of the parameters for which the system has a unique solution, and describe the solution. 7. 6sx1 + 4x2 5 9x + 2sx₂ = -2 =arrow_forward1–16, use the graphing approach to determine whether the system is consistent, the system is inconsistent, or the equations are dependent. If the system is consistent, find the solution set from the graph and check it. (2x - y=9) (4x - 2y=11) Kaufmann, Jerome E.; Schwitters, Karen L.. Intermediate Algebra (p. 509). Cengage Learning. Kindle Edition.arrow_forward
- 1–18, use the elimination-by-addition method to solve each system. (x - 2y=-12) (2x + 9y=2) Kaufmann, Jerome E.; Schwitters, Karen L.. Intermediate Algebra (p. 521). Cengage Learning. Kindle Edition.arrow_forward5. By using the matrix methods to solve the following linear system: I1 + 12 – 13 = 5, 3r1 +x2 – 2r3 = -4, -I1 + 12 - 2r3 = 3;arrow_forward1–16, use the graphing approach to determine whether the system is consistent, the system is inconsistent, or the equations are dependent. If the system is consistent, find the solution set from the graph and check it. (3x + y=0) (x - 2y=-7) Kaufmann, Jerome E.; Schwitters, Karen L.. Intermediate Algebra (p. 509). Cengage Learning. Kindle Edition.arrow_forward
- 2. Solve for x in the given matrix equalitiesarrow_forwardIn Exercises 15–16, solve each system by eliminating variables using the addition method. 15. [3x + 12y = 25 |2r - 6y = 12 x + 3y -x + 2y + 3z 2х - 5у — г 16. 5 13 -8arrow_forward4) Use Cramer's rule to solve the following linear system: Iị – 3x2 + x3 = 4 2x1 – x2 = -2 4.x1 – 3.x3 = 0.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage