In Problems 5–14 solve the given linear system.
5.
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- _7. What term is eliminated the when the equations in the following system are subtracted? x² + y? = 36 x2 – y = 36 [A] x [B] x² [C] ¥ [D]y?arrow_forward1. Y = 5x + 2 2. 5y = 25x + 10 %3D 3. 5y = 10x + 10 4. 2y = 10x – 4 Which pair of equations forms a system that has infinitely many solutions? 2 and 4 2 and 3 O 1 and 2 O 1 and 4arrow_forward51. Suppose that -1 -2 -i A and D = -5 Find X such that AX = D by %3D (a) solving the associated system of linear equations and (b) using the inverse of A.arrow_forward
- 4. Use Gaussian elimination with backward substitution to solve the following linear system: 2x1 + x2 – x3 = 5, x1 + x2 – 3x3 = -9, -x1 + x2 + 2x3 = 9;arrow_forwardH.W:- Solve The linear SysTem O 1.7X-3.2y = 81 014x+112y = -2 2X+X2- X3=D9 8 X2+ 6X3=-6 -2 X1+4x2-6X3= Y0 %3D ®2x+3y+2-1/W = | 5x -2y+5z-4w=S X-Y+32-3w=3 3ペナ9yーチスナ2w=ー7arrow_forward[1 1 1] 024. The system of equations | 0 0 1x=| b, | is solvable if |0 0 1 b, (c) b, = b, (d) b, = 0 (e) none (a) h, = b, = 0 (b) b, = b, # 0 025. If A = B+C and B= B' and C' =-C, then %3D %3D (1) C = A– A" »C=÷(4- A') (6) C=;(4+A") (4) C = A+ A" (e) none c=-(4-A') (0) C = (A+ A°) («)C= A+ A°arrow_forward
- In Problems 39–43, solve each system of equations. Į 2r + y + 3 = 0 x² + y? = 5 x + y? = 6y x = 3y S2xy + y? = 10 39. 40. 41. | 3y² – xy = 2 Ј Зx? + 4ху + 5у? 3D 8 42. x² - 3x + y² + y = -2 43. lx² + 3xy + 2y² = 0 + y + 1 = 0 yarrow_forward1. 2. 3. Write v as a linear combination of u and w, if possible, where u = (2, 3) and w = (1, -1). (Enter your answer in terms of u and w. If not possible, enter IMPOSSIBLE.) v = (-2, -3) V = Solve for w where u = (1, 0, -1, 1) and v = (2, 0, 3, -1). w + 2v = -4u W = Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, -1, 3), (5, 0, 4)) (a) z = (7, -6, 14). Z= (b) v = V = (c) w = (3,-9, 15) W = (d) v = (18, - 1, 59) )$₁ U= $₁ + u = (2, 1, -1) )$₁arrow_forward1. (Ch. 1) Find all solutions to the following linear system of equations: X1 – 3x2 + x4 – x5 = 1 %3D x3 – X4 = 2 %3Darrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning