Solving Simple Linear Equations

Solving simple linear equation involves the process of the solving basic linear equations in simple method. Linear equations come under the category of linear algebra whereas linear algebra is defined as the process of calculating system of unknown variables with the help of known things. Simple linear equations have relations with the families of vectors called vector or linear spaces. The following are the simple linear equations examples for solving.

Simple Linear Equations Examples for Solving:

Example 1:

Solve the simple linear equation to find the variable value.

-2(h - 1) – 4h - 1 = 3(h + 2) – 4h

Solution:

Given expression is
-2(h - 1) – 4h - 1 = 3(h + 2) – 4h

Multiplying the integer terms
-2h + 2 – 4h - 1 = 3h + 6 – 4h

Grouping the above terms
-6h + 1 = -h + 6

Subtract 1 on both sides
-6h + 1 - 1 = -h + 6 -1

Group the above terms
-6h = -h + 5

Add h on both sides
-6h + h = h + 5 -h

Group the above terms
-5h = 5

Multiply -1/5 on both sides
h = - 5/5

h = - 1 is the solution.

Example 2:

Solve the simple linear equation to find the variable value.

-4(h + 3) = h + 9

Solution:

Given expression is
-4(h + 3) = h + 9

Multiplying the integer terms
-4h - 12 = h + 9

Add 12 on both sides
-4h - 12 + 12 = h + 9 + 12

Grouping the above terms
-4h = h + 21

Subtract h on both sides
-4h - h = h + 21 -h

Grouping the above perms
-5h = 21

Multiply -1/5 on both sides
h = -21/5

h = -21/5 is the solution.

Simple Linear Equations Practice Problems for Solving:

1) Solve the simple linear equation to find the variable value.

-3(h - 2) – 2h - 3 = 2(h + 1) – 4h

Answer:  h = -1/3 is the solution.

2) Solve the simple linear equation to find the variable value.

-2(h + 3) = h - 1

Answer:   h = - 5/3 is the solution.