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Solve the equation and also check your results:5(7x+5)/3 – 23/3 = 13 – (4x-2)/3 |
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Answer» 5(7x+5)/3 – 23/3 = 13 – (4x-2)/3 By rearranging (35x + 25)/3 + (4x – 2)/3 = 13 + 23/3 (35x + 25 + 4x – 2)/3 = (39+23)/3 (39x + 23)/3 = 62/3 By cross-multiplying (39x + 23)3 = 62(3) 39x + 23 = 62 39x = 62 – 23 39x = 39 x = 1 Let us verify the given equation now, 5(7x+5)/3 – 23/3 = 13 – (4x-2)/3 By substituting the value of ‘x’ we get, (35x + 25)/3 – 23/3 = 13 – (4x-2)/3 (35+25)/3 – 23/3 = 13 – (4-2)/3 60/3 – 23/3 = 13 – 2/3 (60-23)/3 = (39-2)/3 37/3 = 37/3 1 = 1 Hence, the given equation is verified. |
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