+6251 \(2x-5y=-12\\ x-3y=-7\)
using the 2nd equation
\(x = 3y - 7\)
plugging this into the first equation
\(2(3y-7) - 5y = -12\\ 6y - 14 -5y = -12 \\ y -14 = -12 \\ y=2\)
plugging this into our equation for x we get
\(x = 3(2)-7=6-7=-1\)
As a check
\(2(-1)-5(2)=-2-10 = -12 \\ (-1)-3(2) = -1 - 6 = -7\)
