Question

8. If (x + 4) : (x +13)=(x - 2) : (x+1), then find the
value of x.
(3 marks)​

Answer 1

Step-by-step explanation:

(x+4)/(x+13)=(x-2)/(x+1)

(x+4)(x+1)=(x-2)(x+13)

x(x+1)+4(x+1)=x(x+13)-2(x+13)

x^+x+4x+4 = x^+13x-2x-26

x^+5x+4 = x^+11x-26

x^-x^+5x-11x+4+26=0

-6x+30=0

6x=30

x=5