Solve the system of equations
-3y+4x=13
-5y-6x=-67

{x,y} = {67/16,-15/4}

Step-by-step explanation:

// Solve equation [2] for the variable  y

 [2]    2y = -8x + 26

 [2]    y = -4x + 13

// Plug this in for variable  y  in equation [1]

  [1]    4x + 5•(-4x+13) = -2

  [1]    -16x = -67

// Solve equation [1] for the variable  x

  [1]    16x = 67

  [1]    x = 67/16

// By now we know this much :

   x = 67/16

   y = -4x+13

// Use the  x  value to solve for  y

   y = -4(67/16)+13 = -15/4

step-by-step explanation:

(-5,-28)

i graphed to on desmos.