Question

Solve the equation with explanation . 2x+1/3x-✓5/9​

Answer 1

Answer:

We have, (2x + 1) / (3x – 2) = 5/9 Let us perform cross-multiplication we get, 9(2x + 1) = 5(3x – 2) 18x + 9 = 15x – 10 18x – 15x = -10 – 9 3x = -19 x = -19/3 Now let us verify the given equation, (2x + 1) / (3x – 2) = 5/9 By substituting the value of ‘x’ we get, (2(-19/3) + 1) / (3(-19/3) – 2) = 5/9 (-38/3 + 1) / (-57/3 – 2) = 5/9 (-38 + 3)/3 / (-57 – 6)/3 = 5/9 -35/3 / -63/3 = 5/9 -35/3 × 3/-63 = 5/9 -35/-63 = 5/9 5/9 = 5/9 Hence, the given equation is verifiedRead more on Sarthaks.com - https://www.sarthaks.com/665057/solve-the-equationand-verify-your-answer-2x-1-3x-2-5-9