Consider the linear equation .

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

Problem

Consider the linear equation 5x−7=135x-7=13. (i) Define what is meant by the solution of a linear equation in one variable. (ii) Check whether x=4x=4 is a solution of the equation 5x−7=135x-7=13, showing each step of your working clearly. (iii) Explain, in not more than three sentences, why it is necessary to carry out such a check after solving any linear equation.

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