MATHEMATICS · Multi-part · AoPS · Mathematics · One-Variable Linear Equations · One-Variable Linear Equations
Problem
Consider the linear equation with decimals
0.4x−2.5=1.3.
(i) Solve the equation for x, showing each algebraic step.
(ii) Substitute the obtained value of x into both sides of the original equation to verify the solution.
(iii) If the value of x obtained in (i) is increased by 1.5, determine the new values of the left–hand side and right–hand side of the original equation, and comment on whether equality still holds.