how to solve this 9x-7/3x+5 = 3x-4/x+6
Answers
Answer:
We have, (9x-7)/(3x+5) = (3x-4)/(x+6) (9x-7)/(3x+5) – (3x-4)/(x+6) = 0 By taking LCM as (3x+5) (x+6) ((9x-7) (x+6) – (3x-4) (3x+5)) / (3x+5) (x+6) = 0 By cross-multiplying we get, (9x-7) (x+6) – (3x-4) (3x+5) = 0 Upon expansion we get, 9x2 + 54x – 7x – 42 – (9x2 + 15x – 12x – 20) = 0 44x – 22 = 0 44x = 22 x = 22/44 = 2/4 = 1/2 Now let us verify the given equation, (9x-7)/(3x+5) = (3x-4)/(x+6) By substituting the value of ‘x’ we get, (9(1/2) – 7) / (3(1/2) + 5) = (3(1/2) – 4) / ((1/2) + 6) (9/2 – 7) / (3/2 + 5) = (3/2 – 4) / (1/2 + 6) ((9-14)/2) / ((3+10)/2) = ((3-8)/2) / ((1+12)/2) -5/2 / 13/2 = -5/2 / 13/2 -5/13 = -5/13 Hence, the given equation is verifiedRead more on Sarthaks.com - https://www.sarthaks.com/665156/solve-the-equationand-verify-your-answer-9x-7-3x-5-3x-4-x-6?show=665163#a665163
Answer:
Hey mate
Step-by-step explanation:
9x-7/3x+5=3x-4/x+6
Cross multiplying
9x-7* x+6=3x+5*3x-4
When we multiply this and separate x we get the answer
Hope it helps