EX.2.1 Q10 Linear Equations in One Variable Solutions - NCERT Maths Class 8

Go back to  'Ex.2.1'

Question

Solve the equation:

\({\rm{14}}y-{\rm{8}} = {\rm{13}}\)

 Video Solution
Linear Equations
Ex 2.1 | Question 10

Text Solution

What is known?

Equations

What is unknown?

Value of the variable

Reasoning:

In an equation values of left-hand side (LHS) and right-hand side (RHS) are equal. The two sides of the equation are balanced. We perform mathematical operations so that the balance is not disturbed.

Steps:

Transposing \((- 8)\) to RHS, we get

\[\begin{align}14y &= {\rm{13 }} + {\rm{ 8 }}\\14y &= 21\end{align}\]

Now dividing both sides by \(14\):

\[\frac{{14y}}{{14}}\,\, = \,\,\frac{{21}}{{14}}\]

We get, \(y\) \(= 1.5\)