Horses cost 37 pence each and sheep 17 pence each. A total of 2,600 pence is spent on horses and sheep. Use Eulcid's algorithm to obtain one solution to the corresponding cattle problem equation 37x + 17y = 2600. Hence (or otherwise) write down the general solution and identify all pairs of non- negative solutions in (x, y). Which of these solutions do you think is the most likely solution?

Q: For which value of K will the pair of equations  kx + 3y = k - 3  12x + ky = k  have no solution?

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Q: Solve a0 = 1, a1 = 3 and an = an−1 + 6an−2, for n ≥ 2.

A: We will start with the trial solution, an = rn for all n > 0

Q: Find the solution for an = 6a-1-8an-2 for n>2 and ao = 4, aj = 10.

A: Given recurrence relation is an=6an-1-8an-2, n≥2 and a0=4, a1=10. Let an=xn be a solution of above…

Q: Solve by substitution : 2x - 3y = 4                                        2x + y = -4

A: We have to solve the equations by the substitution method.

Q: (b) Find a solution to the equation 426k+330l = gcd(426,330) where k and l are integers.

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Q: If a*b = ab - b/a,  Evaulate: (i)  3 * 6 (ii)   2x ( 3 * 6 )   Solve the simultaneous equations:…

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Q: 2. Count the number of rearrangements of the word TASTE in which no letter appears in any of its…

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Q: Find the value(s) of k that will cause the equation 4x2-kx+4=0 to have one real solution.

A: It is given that,4x2-kx+4=0 to have one real solution.We have to find the value of k.

Q: Solve Using Gauss-Jordan -2x1 + x₂ + 6x3 = 18 - 5x1 + 0x2 + 8x3 = -16 3x1 + 2x2 - 10x3 = -3 x1: x2:…

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Q: Solve. 8r - s+ t= -9 (1) 2r+2s- 3t r-3s + 2t = =-20 (2) 17 (3) The solution is ( D.

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Q: a. Solve by back-substitution: 3x1 + 3x2 + X3 = 12, -4x₂-3x3 = -10, 4. 2x3 = = b. Solve by…

A: We will solve the system of equation by back substitution  and  forward substitution

Q: Two students simultaneously decide how much time to spend on a joint project. If the times spent are…

A: π1=t1(1-t1-t2) ⇒π1=t1-t12-t2t1 Then BR1 :dπdt1=1-2t1-t2=0⇒1-t2=2t1 As Symmetric Nash Equilibrium,…

Q: Solve 71+3r9 +6xs- I+ I, = --2 211+ 8r2 + 16r3 - 3r4 +3x5 = -4 +20, + 4r3-3,+3x; -7

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Q: n 10x + 11y = n has

A: The equation as, ax+by=S. The smallest positive integer S is expressed as, S=(k+1)*a*b

Q: a. Solve by back-substitution: 3x1 + 3x2 + x3 = 12, -4x₂-3x3 = -10, 2x3 = 4. b. Solve by…

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Q: does y=5x-4 and y=5x-5 have no solution, one solution, or infinitely many solutions

A: Given that two lines. y = 5x - 4 and  y = 5x - 5.  Both lines have same slope m = 5.

Q: 1 1 b. From (i) prove that, xb + x ² + 1 + x² + x ² + 1 ² + 1 = 1 xa +x+b+1 c. From (ii) given in…

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Q: 3) How many solutions does the equation a + b +c + d+e+f= 30 have if each variable must be a non-…

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Q: Solve using gauss Jordan elimination  4x¹+6x²-17x³=-5 3x¹+22x²-61x³=18 x¹+4x²-11x³=2

A: x¹ = -3 x² = 4x³ = 1Explanation:Let's solve this system of linear equations using the Gauss-Jordan…

Q: Solve the equation -2 = √6s-8. Show your work in the sketch box. Make sure you show the check.…

A: Given query is to find the solution.

Q: (a) Use the given information to write a system of linear equations for x, y, and z. (b) Convert…

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Q: How to solve

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Q: 2. Determine the general solution of the following equation X₁ 3 -1X1 e 1-(³ + X₂ 1

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Q: A survey of the white and nonwhite population in a local area reveals the following annual trip…

A: Given: Sample 1 denotes the white population Sample 2 denotes the nonwhite population…

Q: For what values of a and B, the following simultaneous equations have an infinite number of…

A: Introductions :

Q: 10) Solve the following equation for x. Use any method of your choosing 3x2-2x-5 = 0

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