Solve Linearequationswithtwounknowns 2x+3y=-6,3x-4y

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Other Ways to Solve

Linear equations with two unknowns

Step by Step Solution

System of Linear Equations entered :

[1] 2x + 3y = -6 [2] 3x - 4y = -12

Graphic Representation of the Equations :

3y + 2x = -6 -4y + 3x = -12

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 3x = 4y - 12 [2] x = 4y/3 - 4

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

[1] 2•(4y/3-4) + 3y = -6 [1] 17y/3 = 2 [1] 17y = 6

// Solve equation [1] for the variable y

[1] 17y = 6 [1] y = 6/17

// By now we know this much :

x = 4y/3-4 y = 6/17

// Use the y value to solve for x

x = (4/3)(6/17)-4 = -60/17

Solution :

{x,y} = {-60/17,6/17}

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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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