Question

solve : (see attachment)

Answer 1

(3x)/(x - 1) + (2x)/(x - 6) = (5x² - 15x + 20)/(x² - 7x + 6)
Factor denominator of right hand side.
(3x)/(x - 1) + (2x)/(x - 6) = (5x² - 15x + 20)/((x - 1)(x - 6))
Multiply by (x - 1) to cancel it out on the left and right side. Remember to multiply the second term by it though!
(3x) + ((2x)(x - 1))/(x - 6) = (5x² - 15x + 20)/(x - 6)
Same thing with (x - 6).
(3x)(x - 6) + (2x)(x - 1) = 5x² - 15x + 20
Distributive property and simplify.
3x² - 18x + 2x² - 2x = 5x² - 15x + 20
Combine like terms.
5x² - 20x = 5x² - 15x + 20
Subtract 5x².
-20x = -15x + 20
Add 15x.
-5x = 20
Divide by -5.
x = -4

Answer 2

Please don't put it in a .docx ever ever again... it's EXTREMELY inconvenient.