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Solve system of equations:
{:[2x+5y=-11],[-8x-5y=-1]:}

Solve system of equations: \newline2x+5y=112x+5y=-11 \newline8x5y=1-8x-5y=-1

Full solution

Q. Solve system of equations: \newline2x+5y=112x+5y=-11 \newline8x5y=1-8x-5y=-1
  1. Eliminate y: Add the two equations to eliminate y.\newline2x+5y=112x + 5y = -11\newline8x5y=1-8x - 5y = -1\newline-----------------\newline6x=12-6x = -12\newlineSolve for x: x=2x = 2
  2. Solve for xx: Substitute x=2x = 2 into the first equation to find yy.2(2)+5y=112(2) + 5y = -114+5y=114 + 5y = -115y=155y = -15y=3y = -3