Question

Please answer as soon as possible

Answer 1

Step-by-step explanation:

f. 2y/3 + 1 = 4/5(y - 1/4)

2y/3 + 1 = 4y/5 - 1/5

(taking LCM of denominator 3 and 5 is 15)

10y/15 + 15/15 = 12y/15 - 3/15

10y + 15 = 12y - 3

10y - 12y = - 3 - 15

- 2y = - 18

y = (-18)/(-2)

y = 9

h.) 1/(x-1) + 3/(x+1) = 4/x

[1(x+1) + 3(x-1)]/[(x-1)(x+1)] = 4/x

[x + 1 + 3x - 3]/[x²-1] = 4/x

(4x - 2)/(x²-1) = 4/x

(Cross multiplication)

x(4x - 2) = 4(x² - 1)

4x² - 2x = 4x² - 4

4x² - 2x - 4x² = - 4

- 2x = - 4

x = (-4)/(-2)

x = 2