Answers for Algebra Advanced

Introduction on answers for algebra advanced:

Advanced algebra is modern method of mathematics. Advanced algebraic equation have the three variables in its equation. There are different key topics used in advanced algebra.

Key topics of advanced algebra:

1) Linear algebra.

2) Homological algebra.

3) Algebraic number theory.

4) Algebraic geometry.

Features of advanced algebra:

The advanced algebra represents its subject matter in a forward looking. That taken into the account to historical development of the subject. The advanced algebra gives more problems and gives the complete solution of the problems.


Example problems with answers for advanced algebra:


Example:

Solve the given algebraic equation:

x + y + z = 10, 2x - y + z = 2    -      - x + 2y - z = 5.

Soution:

x + y + z = 10

2x - y + z = 2

-x + 2y - z = 5

Let me use these, because they are easier to solve

x + y + z = 10

- x + 2y - z = 5

After solving, we get

3y = 15

y = 5

Substitute the Y value in the first equation, we get

x + 5 + z = 10

x + z = 5

z = - x + 5

Substitute the Y value in the second equation, we get

2x - 5 + z = 2

2x + z = 7

z = - 2x + 7

Equating the above two values, we get

- x + 5 = - 2x + 7

x = 2

z = - 2 (2) + 7

= - 4 + 7

= 3

Answer:

The final answer is x = 2, y = 5, z = 3.


Practice problems with answers for advanced algebra:

1) Solve the algebraic equations and find its answers x - y - z = 2, 2x + 3y - z = 14, x + y +2z = 19

Answer:

The final answer is x = 8, y = 1, z = 5.

2) Solve the algebraic equations and find its answers 2x - y + z = 3, 3x + 2y - 2z =15, 4x - y +2z = 10

Answer:

The final answer is x = 3, y = 4, z = 1.

3) Solve the algebraic equations and find its answers 2x - 3y - z = - 9, 4x + 7y + z = 41, 7x - y - 3z = 15

Answer:

The final answer is x = 2, y = 5, z = - 2.