If 1/x + 2/y = 4 and 3/y - 1/x = 11 then

Question

KollegeApply · Accepted Answer

bb(x = (-1)/2, y = $\frac{1}{3}$) Explanation: Let u = 1/x and v = 1/y. Then the system becomes u + 2v = 4 –u + 3v = 11 Add the equations: 5v = 15 $\Rightarrow$ v = 3 Substitute into u + 2v = 4: u + 6 = 4 $\Rightarrow$ u = –2 So, 1/x = -2 $\Rightarrow$ x = (-1)/2 and 1/y = 3 $\Rightarrow$ y = $\frac{1}{3}$.

AChoose Your Answer