Example 9 - Solve the equation 2x + 1 = x - 3 - Chapter 4 - Examples

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Example 9 Solve the equation 2x + 1 = x – 3, and represent the solution(s) on (i) the number line Number line is one variable In one variable, there is only x axis.(No y-axis) Solving 2x + 1 = x – 3 2x – x = –3 – 1 x = – 4 Here, 2x + 1 = x – 3 is a point Hence, we can say that in one variable 2x + 1 = x – 3 is a point Example 9 Solve the equation 2x + 1 = x – 3, and represent the solution(s) on (ii) the Cartesian plane. In Cartesian plane , we have x and y axis Hence, writing equation 2x + 1 = x – 3 in terms of x & y 2x + 1 = x – 3 2x – x = –3 – 1 x = –4 x + 0 = – 4 x + 0y = –4 Plotting points on graph Comparison

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