Question

Solve the following system: y = x + 3 2x + y = 9

Answer 1

Y=5 and X=2 :) hope this helped

Answer 2

{y,x}={5,2}

See steps

Step by Step Solution:

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System of Linear Equations entered :

[1] y-x=3

[2] 2x+y=9

Equations Simplified or Rearranged :

[1] y - x = 3

[2] y + 2x = 9

Graphic Representation of the Equations :

x + y = 3 2x + y = 9

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = -2x + 9

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

[1] (-2x+9) - x = 3

[1] - 3x = -6

// Solve equation [1] for the variable x

[1] 3x = 6

[1] x = 2

// By now we know this much :

y = -2x+9

x = 2

Solution :

{y,x} = {5,2}