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Solve the equation and verify your answer:((2x+3) – (5x-7))/(6x+11) = -8/3 |
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Answer» We have, ((2x+3) – (5x-7))/(6x+11) = -8/3 By cross-multiplying we get, 3((2x+3) – (5x-7)) = -8(6x+11) 3(2x + 3 – 5x + 7) = -48x – 88 3(-3x + 10) = -48x – 88 -9x + 30 = -48x – 88 -9x + 48x = -88 – 30 39x = -118 x = -118/39 Now let us verify the given equation, ((2x+3) – (5x-7))/(6x+11) = -8/3 By substituting the value of ‘x’ we get, ((2(-118/39) + 3) – (5(-118/39) – 7)) / (6(-118/39) + 11) = -8/3 ((-336/39 + 3) – (-590/39 – 7)) / (-708/39 + 11) = -8/3 (((-336+117)/39) – ((-590-273)/39)) / ((-708+429)/39) = -8/3 (-219+863)/39 / (-279)/39 = -8/3 644/-279 = -8/3 -8/3 = -8/3 Hence, the given equation is verified. |
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