Given equations A and B as 2/5x+y=12 and 5/2y-x=6 , respectively, which expression will eliminate the variable x?
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