number theory problems with solutions grade 6 help homework

1. The numbers 2, 3, 5 and 8. 2. The solutions of the equation x 2 - 2x - 15 = 0. 3. The letters of the word "Chase". 4. People living in our locality. 5. The students Mary, Hillary, Catherine. 6. The workers who are absent from the factory. 7. The capital cities of ..

The given equations are 2x - y + z = -3 3x - 0.y - z = - 8 2x + 6y + 0.z= 2 = 2(6) +1(2) + 1(18) = 12 +2 + 18 = 32 The system has a unique solutions. A 1 1 = (0 + 6) = 6, A 1 2 = -(0 + 2) = -2, A 1 3 = 18 A 2 1 = 6, A 2 2..

The statement A B that every element of A is also in the set B, which includes the possibility that A = B. The statement A B (A is a proper subset of B) that A is a subset of B and A B; hence there exists at least one element in B which is not in A. ..

We recall from our earlier classes that a system of linear equation with two variables is given by This system of linear equation may have either one solution or infinitely many solutions or no solution..

Factorise using factor theorem. a) 2x 2 +x-3 b) 5x 2 +6x..

Question: A = {a, b, c, e}; B = {b, c, d, e, f}; C = {d, e, f, g} Answer: (i) (ii) (iii) (iv) ..

Question: The 50 t h term of an AP is 90 and 90 t h term is 50. Find the 140 t h term. Answer: If t n = m and t m = n then t m + n = 0 OR a = first term, d = common difference Subtracting (ii) from (i) 40d = -40 = 90 + 90d \ 140 t h term is zero..

A system of linear equations is said to be consistent if it has a solution. This means that the solution satisfies all the equations in the system simultaneously. If a system of linear equations has no solution, then it is said to be inconsiste..

If D = 0 and all D 1 , D 2 and D 3 are zeros, this system has either infinite solution or no solution. In this case, put x = k(y = k or z = k), in any two of the equations, find y and z in terms of k. Substitute these values of x, y and z in terms of k, in the third equation...

If D = 0 and D 1 , D 2 and D 3 are not all zero, then the system is inconsistent, that is the system has no solution..