Answer the following questions about the general form

MATHEMATICS · Multi-part · CBSE · Mathematics · Algebra Play · Algebra Play

Problem

ax = c

, where

a

and

c

are real numbers and

a \neq 0

. (a) Derive an explicit expression for

x

in terms of

a

and

c

. (b) Prove that the value of

x

obtained in part (a) is the unique solution of the equation

ax = c

. (c) Solve

-\dfrac{7}{9}x = 14

and verify your solution by substitution. (d) If both sides of the equation in part (c) are multiplied by

-1

, does the solution change? Give a reason for your answer.