Solve Linearequationswithtwounknowns 3x+2y=4 - Tiger Algebra

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Other Ways to Solve

Linear equations with two unknowns

Step by Step Solution

System of Linear Equations entered :

[1] 3x + 2y = 4 [2] 4x - 2y = 10

Graphic Representation of the Equations :

2y + 3x = 4 -2y + 4x = 10

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 4x = 2y + 10 [2] x = y/2 + 5/2

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

[1] 3•(y /2+5/2) + 2y = 4 [1] 7y/2 = -7/2 [1] 7y = -7

// Solve equation [1] for the variable y

[1] 7y = - 7 [1] y = - 1

// By now we know this much :

x = y/2+5/2 y = -1

// Use the y value to solve for x

x = (/2)(-1)+5/2 = 2

Solution :

{x,y} = {2,-1}

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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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