If there are two or more variables in the equation, then there may be infinite solutions. For example, y = x 2 has infinite solutions: for any real number x we choose, we can easily find a

Sometimes it’s possible to look at the structure of an equation and tell if it has infinitely many solutions or no solutions. For example, look at 2 (12x + 18) + 6 = 18x + 6 (x + 7) Using the

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Example 1-5 : In each of the linear equation, say whether the equation has infinitely many solutions or no solution. Example 1 : 4x - 3 = 2x + 13. Solution : 4x - 3 = 2x + 13. Add 3 to both sides. 4x = 2x + 16 Subtract 2x from each side. 2x = 16. Divide each side by 2. x = 8. Justify and Evaluate : Substitute x = 8 in the given equation.

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