Introduction to learn algebra calculator:

Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.

Now let us see the problems in learn algebra  problems using calculator.

 

 

learn algebra problems using calculator:

 

Problem 1 :

3x - y = -16---------------------- (1)

2x+8y =-28---------------------- (2)

The above problem can be solved in calculator

The calculator uses equation of 2 by 2 and get the correct result.

algebra calculator

The value are entered the values to the calculator solver it functions the system of equations .

The required answer are x = -4, y = -2

Problem 2 :

Given that :x + 3y = 7 - - - - - - (1)

                2x + y = 4 - - - - - - (2)

The above problem can be solved in calculator :

algebra calculator

The calculator uses equation of 2by 2 and get the correct result.

Let us see the same problem in manually,

 (1) * 2 → 2x + 6y = 14

(2) → 2x + y = 4

Now subtracting the two equations,

2x + 6y = 14

2x + y = 4
------------------

0 + 5y = 10

          y = 10 / 5

y = 2

Thus, y = 2. Substitute y = 2 in either of the two equations,

2x + y = 4

2x + 2 = 4

      2x = 4 - 2

      2x = 2

         x = 2/2

 x = 1

Answer: x =1 and y =2

Problem 3 :

Given that :

x - y = -5 --------------------(1)

3x+8y = -48-----------------(2)

The problem can solved in calculator  :

algebra calculator

The problem can be solved in manually,

x - y = -5 --------------------(1)

3x+8y = -48-----------------(2)

Answer :                 

Step 1: Rearrange the first equation,

x - y = -5

y = x + 5---------------------(3)

 Step 2: insert this value  in for y =x + 5 into the second equation;

3x + 8(x + 5) = -48

Step 3:Expand and simplify the equation:

3x + 8x + 40 = -48

11x = -88

                  x = -8-----------------------(4)

Step 4:

Insert of   the value x back into the one of that original equations;

-8 - y = -5

y = -3----------------------------(5)

The required answer are x = -8, y = -3

 

One more problem to learn algebra using calculator:

 

Solve the equations : x + 2y + 3z = 14, 3x + y + 2z = 11, 2x + 3y + z = 11.

Solution : Let the given equations be identified as follows.

         x + 2y + 3z = 14 ......................(1)

         3x + y + 2z = 11 .......................(2)

         2x + 3y + z = 11..................... (3)

Consider the equations (1) and (3)

           (1) `=>` x + 2y + 3z = 14

    (3) x3 `=>` 6x + 9y + 3z = 33 subtracting

                    _____________

                  –5x – 7y = –19

                    5x + 7y = 19................................. (4)

Consider the equations (2) and (3)

                (2) `=>` 3x + y + 2z = 11

           (3) x2 `=>` 4x + 6y + 2z = 22 subtracting

                         _______________

                            –x – 5y = –11

                               x + 5y = 11........................ (5)

Consider the equations (4) and (5)

             (4) `=>` 5x + 7y = 19

      (5) x5 `=>` 5x + 25y = 55 subtracting

                    ______________

                      –18y = –36 ; ∴y = 2

Substitute y = 2 in (5) we get

x + 5(2) = 11; x + 10 = 11; ∴x = 1

 

 

 

Substitute x = 1, y = 2 in (3) we get

 2(1) + 3(2) + z = 11; 2 + 6 + z = 11 `=>` z = 3

The solution is x = 1, y = 2, z = 3.

The above sum is to learn algebra  problem using calculator in simultaneous equation