Question

If 2.7x = 3.3y, then the value of (2y + x) / (2y - x) is :

Answer 1

sub one value in so

2y + 3.37/2.7y / 2y - 3.37/2.7y

hope this helps :)

Answer 2

$2.7x=3.3y\\\Rightarrow \frac{y}{x}=\frac{2.7}{3.3}\\\Rightarrow \frac{2y}{x}=\frac{9}{11}\cdot2=\frac{18}{11}\\\text{Apply Componendo and Dividendo}\\\frac{2y+x}{2y-x}=\frac{18+11}{18-11}=\frac{29}{7}\\\text{Alternatively,as Christinebernard stated,}\\2.7x=3.3y\\\Rightarrow y=\frac{9}{11}x\\\text{Now, }\frac{2y+x}{2y-x}\\=\dfrac{2\cdot\frac{9x}{11}+x}{2\cdot\frac{9x}{11}-x}\\\text{Multiply Numerator and Denominator by }\frac{11}{x},\\\frac{18+11}{18-11}=\frac{29}{7}$