Find the general solution to the system of congruences: x ≡ 3 (mod 7), x ≡ 4 (mod 13).

Q: Solve for x: 7x = 3 mod 11

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Q: If m<1 = 6(3x+1)-2, m<2= 3(x+2)+9, and m<ABC= 5(3x+5)+6, find x and m<ABC.

A: Given,           ∠1=63x+1-2           ∠2=3x+2+9            ∠ABC=53x+5+6

Q: Q2: Find the solution of 143x³ + 22x¹ + 5x² + 3x + 1 = 0 (mod 11), if any.

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Q: verify that A(B + C) = AB + AC

A: Now,

Q: 7x = 4 (mod 12).

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Q: Find a and b such that 2 1 20 = a 2 +b -4 -22 -1 a = b =

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Q: Show that if a &gt; b, and a, b i= 0, then b- 1 &gt; a - 1, provided that a and b have the same…

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Q: Find a and b such that a = 9 = 0 - a -1 +6 10 6

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Q: Solve for x : 5x ≡ 7 (mod 6).

A: Here remainder is 7 and modulus is 6 we can write it as  5x-7 =6n          Where  is an positive…

Q: ind AxB for A = {1,2} and B = {r,s, t} %3D

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Q: %3D 2x +30 = -4(5x-2); Prove: x= -1

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Q: Solve the congruence x? = 79 mod91.

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Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: Solve the congruence: 341x + 19 = 291 (mod 9).

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Q: Suppose an = 5an-1+4an-2 – 3an-3 and a4 = 22, аs — 127, and ag = 717. Find a1, a2, and аз. ai = a2 =…

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Q: dt dy - x = 0 + 16y=0 when t=0, x-3 x = = y = -2 & y'= -1 when x

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Q: A pair of digits (a, b) is such that 4a5b32 is a multiple of 66, find a+b.

A: Please see the below picture for detailed solution.

Q: S√4 4+² +3 dt

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Q: Use your work from problem 2 and the method used in the example at the end of Lecture 16 to solve…

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Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: Solve the system 2.x = 3(mod 5) 3r 2(mod 7) I = 2(mod 6)

A: As per our guidelines we supposed to solve the very first question when multiple questions are…

Q: Given that (AB) = 256, (aB) =768 ,(Ab) =48 and (ab) =144 find whether a and b are associated or…

A: To conclude, if the attributes 'a" and "b" are independent, the formulated Yule's Coefficient of…

Q: Find two First terms whose product is ax?: (Ox + )Cx + ) = ax? + bx + c.

A: Given: x+   x+   =ax2+bx+c, To find: Two first terms whose product is ax2.

Q: If A  = i - 2j - 3k,  B = 2i + j - k, C = i + 3j - 2k.  Find the (AxB)(B•C)

A: Let us consider two vectors A=ai+bj+ckB=xi+yj+zk Dot product of two vectors is  A·B=ax+by+cz Cross…

Q: tind all ins ongrnent solution the cangruence i¥ exist for 36X= 96mod 156

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