Solve Linearequationswithtwounknowns 6x-2y=4;2x-y=8 Tiger ...

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Other Ways to Solve

Linear equations with two unknowns

Step by Step Solution

System of Linear Equations entered :

[1] 6x - 2y = 4 [2] 2x - y = 8

Graphic Representation of the Equations :

-2y + 6x = 4 y + 2x = 8

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = 2x - 8

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

[1] 6x - 2•(2x-8) = 4 [1] 2x = -12

// Solve equation [1] for the variable x

[1] 2x = - 12 [1] x = - 6

// By now we know this much :

x = -6 y = 2x-8

// Use the x value to solve for y

y = 2(-6)-8 = -20

Solution :

{x,y} = {-6,-20}

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Why learn this

Terms and topics

  • Linear equations with two unknowns
  • Solving linear equations by substitution

Related links

  • Substitution to solve linear equations | Math Planet
  • Solving linear equations using substitution | for Dummies

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