Question

Solve using cross multiplication method 2x + 5y = 12
4x – y = 2

Answer 1

Answer:

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Answer 2

$\huge \fbox \pink{System of Linear Equations entered :}$

  [1] 2x + 5y = 12   [2] 4x - y = 2

$\huge \red {Graphic \: Representation \: of \: the \: Equations :}$

$\bold \pink{5y + 2x = 12}$

$\bold \green{ y + 4x = 2}$

(for the graphic see the above attachment )

Solve by Substitution :-

Solve equation [2] for the variable  y 

 

[2] y = 4x - 2

Plug this in for variable  y  in equation [1]

  [1] 2x + 5•(4x-2) = 12   [1] 22x = 22

Solve equation [1] for the variable  x 

  [1] 22x = 22    [1] x = 1 

By now we know this much :

  x = 1   y = 4x-2

❤Use the  x  value to solve for  y 

  y = 4(1)-2 = 2 

$\huge \colorbox{red}{solution}$

•  {x,y} = {1,2}