Question

4x +2y=10
3x +5y=11 Using substitution method

Answer 1

Answer:

// Solve equation [2] for the variable  y 

 

[2] 5y = -3x + 11 [2] y = -3x/5 + 11/5

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

  [1] 4x + 2•(-3x/5+11/5) = 10   [1] 14x/5 = 28/5   [1] 14x = 28

// Solve equation [1] for the variable  x 

  [1] 14x = 28    [1] x = 2 

// By now we know this much :

  x = 2   y = -3x/5+11/5

// Use the  x  value to solve for  y 

  y = -(3/5)(2)+11/5 = 1 

Solution :

 {x,y} = {2,1} 

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