Linear equations in one variable

Brief Introduction to linear equations in one variable

Equations having linear expressions in one variable only. Such equations are known as linear equations in one variable.

Let us briefly revise what we know:

• An algebraic equation is an equality involving variables. It has an equality sign(=).

• The expression on the left of the equality sign is the Left Hand Side (LHS).

• The expression on the right of the equality sign is the Right Hand Side (RHS).

Solved Examples of linear equations in one variable

Example 1:

Solve: x-2 = 7

Answer:

x − 2 = 7

Transposing 2 to R.H.S, we obtain

x = 7 + 2 = 9

Example 2:

Solve: y + 3 = 10

Answer:

y + 3 = 10

Transposing 3 to R.H.S, we obtain

y = 10 − 3 

y= 7

Example 3:

Solve: 6 = z + 2

Answer:

6 = z + 2

Transposing 2 to L.H.S, we obtain

6 − 2 = z

z = 4

Example  4:

Solve: ³/₇ + x = ¹⁷/₇

Answer:

Transposing ³/₇ to R.H.S, we obtain

x = ¹⁷/₇ - ³/₇ 

x=¹⁴/₇ 

x=2