Question

What is the solution to the system of equations? Use any method. {y=−3x+12x+5y=18 {2x+5y=18

Answer 1

Answer:

{x,y} = {37/11,-10/11}

Step-by-step explanation:

// Solve equation [2] for the variable  y  

 

 [2]    y = 3x - 11

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

  [1]    4x - 5•(3x-11) = 18

  [1]    -11x = -37

// Solve equation [1] for the variable  x  

  [1]    11x = 37  

  [1]    x = 37/11  

// By now we know this much :

   x = 37/11

   y = 3x-11

// Use the  x  value to solve for  y  

   y = 3(37/11)-11 = -10/11  

Solution :

{x,y} = {37/11,-10/11}        

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Answer 2

Answer: (-1, 4)

Step-by-step explanation: When we graph these equations, the lines intersect at (-1, 4), hence being the answer.