pls can answer this I am confused
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★We have,
y – (7 – 8y)/9y – (3 + 4y) = 2/3
(y – 7 + 8y) / (9y – 3 – 4y) = 2/3
(-7 + 9y) / (5y – 3) = 2/3
★ Let us perform cross-multiplication
Let us perform cross-multiplication we get,
3(-7 + 9y) = 2(5y – 3)
-21 + 27y = 10y – 6
27y – 10y = 21 – 6
17y = 15
y = 15/17
★ Now let us verify the given equation,
y – (7 – 8y)/9y – (3 + 4y) = 2/3
★By substituting the value of ‘y’
By substituting the value of ‘y’ we get,
15/17 – (7-8(15/17))/ 9(15/17) – (3 + 4(15/17)) = 2/3
15/17 – (7 – 120/17) / 135/17 – (3 + 60/17) = 2/3
15/17 – ((119-120)/17) / 135/17 – ((51+60)/17) = 2/3
15/17 – (-1/17) / 135/17 – (111/17) = 2/23 ((15 + 1)/17) / ((135-111)/17) = 2/3
16/17 / 24/17 = 2/3
16/24 = 2/3
2/3 = 2/3
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