Algebra Answer

Introduction to algebra answer:

Algebra is sub divided into many subs topics. One topic is known as linear algebra. Algebra is the division of mathematics is that replacement of a letters for numbers. An algebraic equation is stand for the scale, what is done on the one side of a scale with a number is also completed to the other side of the scale. In the equation x + 5 = 9, the left hand side is the addition (sum) of two parts x and 5. If we add (–5) to each side of the given equation, we get(x + 5) + (–5) = 9 + (–5) or x + [5 + (–5)] = 9 – 5 or x + 0 = 4 or x = 4. Here 9 and −5 are reunited to get 4. These types of mathematics are called as algebra. In this article we shall discuss algebra answer. Understanding Polynomial Factorization is always challenging for me but thanks to all math help websites to help me out.


Sample problem for algebra answer:

Problem 1:

Solve the given linear equation

4x+ 4y = 12,

4 y + 4 z = –20,

4z + 4x = 8.

Solution:

The given equations can be written as

4x + 4y = 12 ----------- (1)

4y + 4z = –20 -------- (2)

4z + 4x = 8 ----------- (3)

In the first step we are adding all three equation values, we get

8x + 8y + 8z = 12 + (–20) + 8

Or          8(x + y + z) = 0

Or          8x + 8y + 8z = 0 ----------- (4)

In the next step we are substituting 4y + 4z = –20 in equation (4) we get

4x + (–20) = 0

4x = 20

X = 5

In the next step we are substituting 4z + 4x = 8 in equation (4) we get

4y + 8 = 0

4y = –8

Y = -2

In the next step we are substituting the value x = 5 in equation (3) we get

4z + 4*5 = 8

4z = 8–20

z = –3

The answer is x = 5, y = –2, z = –3.


Problem 2:


Simplify an algebra expression: 4y+ 6 x - 4 + 6y + 12x + 14

Solution:

+24 and +6y are like terms, and can be combined to give +10y,

+6x and +12x combine to give +18x, and

-4 and +14 combine to give +10.

So after simplifying, this expression will be

10y + 18 x + 10

Problem 3:

Simplify an algebra expression: 12 y + 14z + (4 + 8) z +2y

Solution:

12Y + 14z + 4z + 8z + 2Y

Combine the like terms,

12Y and 2Y are like terms, and can be combined to give 17Y,

14z, 4 z and 8z combined to give 26z.

So after simplifying the answer is: 14Y + 26z