Consider the idea of producing equivalent equations by adding the same number to both…
MATHEMATICS · Multi-part · CBSE · Mathematics · Algebra Play · Algebra Play
Problem
Consider the idea of producing equivalent equations by adding the same number to both sides.
(i) Explain why the solution of an equation of the form ax+b=c remains unchanged when the same integer is added to both sides.
(ii) Without solving, predict whether the equations 6x−9=21 and 6x−9+4=21+4 have the same solution. Give a reason for your answer.
(iii) Verify your prediction in part (ii) by solving both equations and comparing their solutions.