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Solve the equation and verify your answer:(15(2-x) – 5(x+6)) / (1-3x) = 10 |
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Answer» We have, 15(2-x) – 5(x+6) / (1-3x) = 10 (30-15x) – (5x + 30) / (1-3x) = 10 By cross-multiplying we get, (30-15x) – (5x + 30) = 10(1- 3x) 30- 15x – 5x – 30 = 10 – 30x 30- 15x – 5x – 30 + 30x = 10 10x = 10 x = 10/10 = 1 Now let us verify the given equation, (15(2-x) – 5(x+6)) / (1-3x) = 10 By substituting the value of ‘x’ we get, (15(2-1) – 5(1+6)) / (1- 3) = 10 (15 – 5(7))/-2 = 10 (15-35)/-2 = 10 -20/-2 = 10 10 = 10 Hence, the given equation is verified. |
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