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Find the value of a in the equation 5/a+3=3/a-2?

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Dr. Juanita Wolff

Feb 20, 2025

multiply the 2 parts by a : 5+3a = 3-2aSo5a = -2 a=-2/5=-0.4... Show More
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Dr. Juanita Wolff

Feb 20, 2025

If you mean to ask your problem as written,5 / a + 3 = 3 / a – 2 yields a = (-2 / 5).If you meant the problem to be5 / (a + 3) = 3 / (a – 2),then be sure to use parentheses to show the proper order of operations when writing your problem on one line. 5 / (a + 3) = 3 / (a – 2) can be solved by cross-multiplying, like any proportion.5(a – 2) = 3(a + 3) [Distribute.]5a – 10 = 3a + 9 [Add (-3a + 10) to both sides to isolate the variable.]2a = 19a = 19 / 2 = 9 1/2 = 9.5... Show More
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Dr. Juanita Wolff

Feb 20, 2025

If you meant: 5 / (a +3) = 3 / (a – 2), then do it like this.Multiply both sides by [(a + 3)(a – 2)]. 5(a – 2) = 3(a + 3)5a – 10 = 3a + 92a = 19a = 19/2 or 9.5If you meant what you typed, which is 5/a + 3 = 3/a – 2, then do this.Add 2 to both sides.5/a + 5 = 3/aNow, multiply everything by “a”.5 + 5a = 35a = -2a = -2/5 or -.4... Show More
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Dr. Juanita Wolff

Feb 20, 2025

Multiply both sides of the equation by to get rid of the denominator a. You then get the equation 5+3a=3-2a. Subtract 5 from both sides to get 3a-=-2-2a. Add 2a to both sides to get 5a=-2. solve for a by dividing both sides by 5. answer: a=-2/5... Show More
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Dr. Juanita Wolff

Feb 20, 2025

(5/(a + 3)) = (3/(a – 2))cross multiply5(a – 2) = 3(a + 3)5a – 10 = 3a + 9 2a = 19a = (19/2)... Show More
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Dr. Juanita Wolff

Feb 20, 2025

5/a+3=3/a-2take same varibles on same side5/a-3/a=-2-3=-52/a=-5a=-(2/5)... Show More
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