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= p = 14/5

iii) 4 + 5(p – 1) = 34

Solution: - By transposing 4 from LHS to RHS it becomes – 4

= 5(p – 1) = 34 – 4

= 5(p – 1) = 30

Let us divide both the side by 5,

= (5(p – 1))/ 5 = 30/5

= p – 1 = 6

By transposing – 1 from RHS to LHS it becomes 1

= p = 6 + 1 = 7

From a Solution to the Equation:

 As we solve the equation to get the solution, we can get the equation also if we
have the solution.
 Just like we move from equation to solution by solving the equation to find the
value of the variable, we can move from solution to equation.
 A solution in itself is a simplified version of the equation. Hence, it is possible to
create an equation from solution. Importantly it is possible to create multiple
equations from a solution.
 Any equation has only one solution but if we make an equation from a solution
then there could be many equations.

Example:-Given x = 7

3x = 21 (multiply both sides by 3)

3x + 8 = 29 (add 8 to both the sides)

This is not the only possible equation. There could be other equations also.

Q) Construct 3 equations starting with x = – 2

Solution:-