Introduction :
Online calculating involves learning problems in all categories of mathematics. Here we are going to learn the problems in linear algebra which is to be solved in online and calculating the coefficients value. In online, the coefficient value for the given equation is showed automatically and it helps to learn step by step solution. Linear algebra is one of the branches of mathematics that deals with finding unknown variables with the known values. In online, linear algebra helps to learn problems with real numbers, complex numbers, matrices etc. Some of the example problems are discussed below in which it helps to learn the online calculating method.
Example problems for calculating online:
Example 1:
Calculate the ‘a’ value from the given equation -3(a - 4) / 7 - (a - 2) / 2 = -2 a
Solution:
The given expression is
-3(a - 4) / 7 - (a - 2) / 2 = -2 a
From the above expression LCD = 7*2=14, multiplying the LCD on both sides.
14 * [-3 (a - 4) / 7 - (a - 2) / 2] = 14* [-2 a]
Solving the above term
-6(a - 4) - 7(a - 2) = -28a
Multiplying the integer terms and solves it.
-13a + 38 = -28a
Subtract 38 on both sides
-13a + 38 - 38 = -28a -38
Grouping the above terms
-13a = -28a - 38
Add 28x on both sides
-13a + 28a = -28a - 38 +28a
Grouping the terms
15a = -38
Multiply 15 on both sides
a = -38/15 is the solution.
Example 2:
Calculate ‘a’ value from the equation
(a - 1)(a + 1 / 2) = - a + 1
Solution:
The given function is
(a - 1) (a + 1 / 2) = - (a - 1)
Write the equation with the right side equal to zero.
(a - 1)(a + 1 / 2) + (a - 1) = 0
Take (a - 1) as common term
(a - 1)(a + 1 / 2 + 1) = 0
Solving the above equation to find a term
a - 1 = 0
a + 3 / 2 = 0
Solve for a
a = 1
or
a = - 3 / 2 is the solution.
Practice problems for calculating online:
1) Determine the Z value in the equation
1 – 2/ (a - 8) = 4
Answer: a =22/3 is the solution.
2) Calculate the ‘a’ value in the equation
(a - 2)(a + 1) = - a + 2
Answer: a= -23
Online calculating involves learning problems in all categories of mathematics. Here we are going to learn the problems in linear algebra which is to be solved in online and calculating the coefficients value. In online, the coefficient value for the given equation is showed automatically and it helps to learn step by step solution. Linear algebra is one of the branches of mathematics that deals with finding unknown variables with the known values. In online, linear algebra helps to learn problems with real numbers, complex numbers, matrices etc. Some of the example problems are discussed below in which it helps to learn the online calculating method.
Example problems for calculating online:
Example 1:
Calculate the ‘a’ value from the given equation -3(a - 4) / 7 - (a - 2) / 2 = -2 a
Solution:
The given expression is
-3(a - 4) / 7 - (a - 2) / 2 = -2 a
From the above expression LCD = 7*2=14, multiplying the LCD on both sides.
14 * [-3 (a - 4) / 7 - (a - 2) / 2] = 14* [-2 a]
Solving the above term
-6(a - 4) - 7(a - 2) = -28a
Multiplying the integer terms and solves it.
-13a + 38 = -28a
Subtract 38 on both sides
-13a + 38 - 38 = -28a -38
Grouping the above terms
-13a = -28a - 38
Add 28x on both sides
-13a + 28a = -28a - 38 +28a
Grouping the terms
15a = -38
Multiply 15 on both sides
a = -38/15 is the solution.
Example 2:
Calculate ‘a’ value from the equation
(a - 1)(a + 1 / 2) = - a + 1
Solution:
The given function is
(a - 1) (a + 1 / 2) = - (a - 1)
Write the equation with the right side equal to zero.
(a - 1)(a + 1 / 2) + (a - 1) = 0
Take (a - 1) as common term
(a - 1)(a + 1 / 2 + 1) = 0
Solving the above equation to find a term
a - 1 = 0
a + 3 / 2 = 0
Solve for a
a = 1
or
a = - 3 / 2 is the solution.
Practice problems for calculating online:
1) Determine the Z value in the equation
1 – 2/ (a - 8) = 4
Answer: a =22/3 is the solution.
2) Calculate the ‘a’ value in the equation
(a - 2)(a + 1) = - a + 2
Answer: a= -23
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