Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Solve each system using the substitution method.
y= 2x
5x - y =9

Sagot :

Answer:

{y,x}={6,3}

Explanation

System of Linear Equations entered :

 [1]           y=2x

 [2]           5x-y=9

Equations Simplified or Rearranged :

  [1]    y - 2x = 0

  [2]    -y + 5x = 9

Graphic Representation of the Equations :

   -2x + y = 0        5x - y = 9  

 

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = 2x

// Plug this in for variable  y  in equation [2]

  [2]    -(2x) + 5x = 9

  [2]    3x = 9

// Solve equation [2] for the variable  x

  [2]    3x = 9

  [2]    x = 3

// By now we know this much :

   y = 2x

   x = 3

// Use the  x  value to solve for  y

   y = 2(3) = 6

Solution :

{y,x} = {6,3}

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.