Verified Answer :

caylus

Hello,

the answer is 5/2*A+B

Answer:

 \(\frac{2}{5}\) × B + A

Step-by-step explanation:

Given equations are \(\frac{2}{5}\)x + y = 12 ---------(A)

and equation  \(\frac{5}{2}\)y - x = 6 -------------(B)

To eliminate the variable x we will multiply equation A by  \(\frac{5}{2}\)

and add it to equation B.

In other words, the expression that we will adopt to eliminate the variable x will be  \(\frac{2}{5}\) × B + A